Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
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Textbook Question
Chapter 7.5, Problem 328E
In the following exercises, write an inverse variation equation to solve the following problems.
328. A car’s value varies inversely with its age. Jackie bought a 10-year-old car for $2,400.
(a) Write the equation that relates the car’s value to its age.
(b) What will be the value of Jackie’s car when it is 15 years old?
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Chapter 7 Solutions
Intermediate Algebra
Ch. 7.1 - Simplify: x2x2x23x+2 .Ch. 7.1 - Simplify: x23x10x2+x2 .Ch. 7.1 - Simplify: 2x212xy+18y23x227y2 .Ch. 7.1 - Simplify: 5x230xy+25y22x250y2 .Ch. 7.1 - Simplify: x24x525x2 .Ch. 7.1 - Simplify: x2+x21x2 .Ch. 7.1 - Simplify: 5xx2+5x+6x2410x .Ch. 7.1 - Simplify: 9x2x2+11x+30x2363x2 .Ch. 7.1 - Simplify: 2x2+5x12x216x28x+162x213x+15 .Ch. 7.1 - Simplify: 4b2+7b21b2b22b+14b2+15b4 .
Ch. 7.1 - Simplify: x383x26x+12x246 .Ch. 7.1 - Simplify: 2z2z21z3z2+zz3+1 .Ch. 7.1 - Simplify: 3x2+7x+24x+243x214x5x2+x30 .Ch. 7.1 - Simplify: y2362y2+11y62y22y608y4 .Ch. 7.1 - Perform the indicated operations:...Ch. 7.1 - Perform the indicated operations:...Ch. 7.1 - Find the domain of R(x)=2x210x4x216x20 .Ch. 7.1 - Find the domain of R(x)=4x216x8x216x64 .Ch. 7.1 - Find R(x)=f(x)g(x) where f(x)=3x21x29x+14 and...Ch. 7.1 - Find R(x)=f(x)g(x) where f(x)=x2x3x2+27x30 and...Ch. 7.1 - Find R(x)=f(x)g(x) where f(x)=2x2x28x and...Ch. 7.1 - Find R(x)=f(x)g(x) where f(x)=15x23x2+33x and...Ch. 7.1 - In the following exercises, determine the values...Ch. 7.1 - In the following exercises, determine the values...Ch. 7.1 - In the following exercises, determine the values...Ch. 7.1 - In the following exercises, determine the values...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - For the following exercises, perform the indicated...Ch. 7.1 - For the following exercises, perform the indicated...Ch. 7.1 - For the following exercises, perform the indicated...Ch. 7.1 - For the following exercises, perform the indicated...Ch. 7.1 - In the following exercises, find the domain of...Ch. 7.1 - In the following exercises, find the domain of...Ch. 7.1 - In the following exercises, find the domain of...Ch. 7.1 - In the following exercises, find the domain of...Ch. 7.1 - For the following exercises, find...Ch. 7.1 - For the following exercises, find...Ch. 7.1 - For the following exercises, find...Ch. 7.1 - For the following exercises, find...Ch. 7.1 - For the following exercises, find...Ch. 7.1 - For the following exercises, find...Ch. 7.1 - For the following exercises, find...Ch. 7.1 - For the following exercises, find...Ch. 7.1 - Explain how you find the values of x for which the...Ch. 7.1 - Explain all the steps you take to simplify the...Ch. 7.1 - (a) Multiply 7494 and explain all your steps. (b)...Ch. 7.1 - (a) Divide 2456 and explain all your steps. (b)...Ch. 7.2 - Simplify: 9x+14x+7+x2x+7 .Ch. 7.2 - Simplify: x2+8xx+5+15x+5 .Ch. 7.2 - Subtract: 4x211x+8x23x+23x2+x3x23x+2 .Ch. 7.2 - Subtract: 6x2x+20x2815x2+11x7x281 .Ch. 7.2 - Subtract: y25yy246y64y2 .Ch. 7.2 - Subtract: 2n2+8n1n21n27n11n2 .Ch. 7.2 - (a) Find the LCD for the expressions 2x2x12,1x216...Ch. 7.2 - (a) Find the LCD for the expressions...Ch. 7.2 - Add: 2x2+5x+3 .Ch. 7.2 - Add: 4m+3+3m+4 .Ch. 7.2 - Add: 1m2m2+5mm2+3m+2 .Ch. 7.2 - Add: 2nn23n10+6n2+5n+6 .Ch. 7.2 - Subtract: 2xx241x+2 .Ch. 7.2 - Subtract: 3z+36zz29 .Ch. 7.2 - Subtract: 3x1x25x626x .Ch. 7.2 - Subtract: 2y2y2+2y8y12y .Ch. 7.2 - Subtract: 3b24b52b26b+5 .Ch. 7.2 - Subtract: 4x243x2x2 .Ch. 7.2 - Simplify: vv+1+3v16v21 .Ch. 7.2 - Simplify: 3ww+2+2w+717w+4w2+9w+14 .Ch. 7.2 - Find R(x)=f(x)g(x) where f(x)=x+1x+3 and...Ch. 7.2 - Find R(x)=f(x)+g(x) where f(x)=x4x+3 and...Ch. 7.2 - In the following exercises, add. 75. 215+715Ch. 7.2 - In the following exercises, add. 76. 724+1124Ch. 7.2 - In the following exercises, add. 77. 3c4c5+54c5Ch. 7.2 - In the following exercises, add. 78. 7m2m+n+42m+nCh. 7.2 - In the following exercises, add. 79....Ch. 7.2 - In the following exercises, add. 80....Ch. 7.2 - In the following exercises, add. 81....Ch. 7.2 - In the following exercises, add. 82. 7x2x29+21xx29Ch. 7.2 - In the following exercises, subtract. 83....Ch. 7.2 - In the following exercises, subtract. 84....Ch. 7.2 - In the following exercises, subtract. 85....Ch. 7.2 - In the following exercises, subtract. 86....Ch. 7.2 - In the following exercises, subtract. 87....Ch. 7.2 - In the following exercises, subtract. 88....Ch. 7.2 - In the following exercises, subtract. 89....Ch. 7.2 - In the following exercises, subtract. 90....Ch. 7.2 - In the following exercises, add or subtract. 91....Ch. 7.2 - In the following exercises, add or subtract. 92....Ch. 7.2 - In the following exercises, add or subtract. 93....Ch. 7.2 - In the following exercises, add or subtract. 94....Ch. 7.2 - In the following exercises, add or subtract. 95....Ch. 7.2 - In the following exercises, add or subtract. 96....Ch. 7.2 - In the following exercises, add or subtract. 97....Ch. 7.2 - In the following exercises, add or subtract. 98....Ch. 7.2 - In the following exercises, (a) find the LCD for...Ch. 7.2 - In the following exercises, (a) find the LCD for...Ch. 7.2 - In the following exercises, (a) find the LCD for...Ch. 7.2 - In the following exercises, (a) find the LCD for...Ch. 7.2 - In the following exercises, (a) find the LCD for...Ch. 7.2 - In the following exercises, (a) find the LCD for...Ch. 7.2 - In the following exercises, (a) find the LCD for...Ch. 7.2 - In the following exercises, (a) find the LCD for...Ch. 7.2 - In the following exercises, perform the indicated...Ch. 7.2 - In the following exercises, perform the indicated...Ch. 7.2 - In the following exercises, perform the indicated...Ch. 7.2 - In the following exercises, perform the indicated...Ch. 7.2 - In the following exercises, perform the indicated...Ch. 7.2 - In the following exercises, perform the indicated...Ch. 7.2 - 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Donald thinks that 3x+4x is 72x . Is Donald...Ch. 7.2 - Explain how you find the Least Common Denominator...Ch. 7.2 - Felipe thinks 1x+1y is 2x+y . (a) Choose numerical...Ch. 7.2 - Simplify the expression 4n2+6n+91n29 and explain...Ch. 7.3 - Simplify the complex rational expression by...Ch. 7.3 - Simplify the complex rational expression by...Ch. 7.3 - Simplify the complex rational expression by...Ch. 7.3 - Simplify the complex rational expression by...Ch. 7.3 - Simplify the complex rational expression by...Ch. 7.3 - Simplify the complex rational expression by...Ch. 7.3 - Simplify the complex rational expression by...Ch. 7.3 - Simplify the complex rational expression by...Ch. 7.3 - Simplify the complex rational expression by...Ch. 7.3 - Simplify the complex rational expression by using...Ch. 7.3 - Simplify the complex rational expression by using...Ch. 7.3 - Simplify the complex rational expression by using...Ch. 7.3 - Simplify the complex rational expression by using...Ch. 7.3 - Simplify the complex rational expression by using...Ch. 7.3 - Simplify the complex rational expression by using...Ch. 7.3 - Simplify the complex rational expression by using...Ch. 7.3 - 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Solve: y6y2+3y4=2y+4+7y1 .Ch. 7.4 - Solve: xx+4=32x216+5 .Ch. 7.4 - Solve: yy+8=128y264+9 .Ch. 7.4 - Solve: y5y1053y+6=2y219y+5415y260 .Ch. 7.4 - Solve: z2z+834z8=3z216z168z2+2z64 .Ch. 7.4 - Solve: 15x2+x63x2=2x+3 .Ch. 7.4 - Solve: 5x2+2x33x2+x2=1x2+5x+6 .Ch. 7.4 - For rational function, f(x)=8xx27x+12 , (a) find...Ch. 7.4 - For rational function, f(x)=x1x26x+5 , (a) find...Ch. 7.4 - Solve: m=y5x4 for y.Ch. 7.4 - Solve: m=y1x+5 for y.Ch. 7.4 - Solve: 1a+1b=c for a.Ch. 7.4 - Solve: 2x+13=1y for y.Ch. 7.4 - In the following exercises, solve each rational...Ch. 7.4 - In the following exercises, solve each rational...Ch. 7.4 - In the following exercises, solve each rational...Ch. 7.4 - In the following exercises, solve each rational...Ch. 7.4 - In the following exercises, solve each rational...Ch. 7.4 - In the following exercises, solve each rational...Ch. 7.4 - In the following exercises, solve each rational...Ch. 7.4 - In the following exercises, solve each rational...Ch. 7.4 - In the following exercises, solve each rational...Ch. 7.4 - 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Cr=2 for r.Ch. 7.4 - In the following exercises, solve 236. Ir=P for r.Ch. 7.4 - In the following exercises, solve 237. v+3w1=12...Ch. 7.4 - In the following exercises, solve 238. x+52y=43...Ch. 7.4 - In the following exercises, solve 239. a=b+3c2 for...Ch. 7.4 - In the following exercises, solve 240. m=n2n for...Ch. 7.4 - In the following exercises, solve 241. 1p+2q=4 for...Ch. 7.4 - In the following exercises, solve 242. 3s+1t=2 for...Ch. 7.4 - In the following exercises, solve 243. 2v+15=3w...Ch. 7.4 - In the following exercises, solve 244. 6x+23=1y...Ch. 7.4 - In the following exercises, solve 245. m+3n2=45...Ch. 7.4 - In the following exercises, solve 246. r=s3t for...Ch. 7.4 - In the following exercises, solve 247. Ec=m2 for...Ch. 7.4 - In the following exercises, solve 248. RT=W for T.Ch. 7.4 - In the following exercises, solve 249. 3x5y=14 for...Ch. 7.4 - In the following exercises, solve 250....Ch. 7.4 - Your class mate is having trouble in this section....Ch. 7.4 - Alek thinks the equation yy+6=72y236+4 has two...Ch. 7.5 - Solve the proportion: yy+55=38 .Ch. 7.5 - Solve the proportion: zz84=15 .Ch. 7.5 - Pediatricians prescribe 5 milliliters (ml) of...Ch. 7.5 - For every 1 kilogram (kg) of a child’s weight,...Ch. 7.5 - Find the actual distance from Seattle to Portland.Ch. 7.5 - Find the actual distance from Portland to Boise.Ch. 7.5 - A telephone pole casts a shadow that is 50 feet...Ch. 7.5 - A pine tree casts a shadow of 80 feet next to a 30...Ch. 7.5 - Link can ride his bike 20 miles into a 3 mph...Ch. 7.5 - Danica can sail her boat 5 miles into a 7 mph...Ch. 7.5 - Dennis went cross-country skiing for 6 hours on...Ch. 7.5 - Joon drove 4 hours to his home, driving 208 miles...Ch. 7.5 - Kayla rode her bike 75 miles home from college one...Ch. 7.5 - Victoria jogs 12 miles to the park along a flat...Ch. 7.5 - One gardener can mow a golf course in 4 hours,...Ch. 7.5 - Daria can weed the garden in 7 hours, while her...Ch. 7.5 - Alice can paint a room in 6 hours. If Kristina...Ch. 7.5 - Tracy can lay a slab of concrete in 3 hours, with...Ch. 7.5 - The number of calories, c, burned varies directly...Ch. 7.5 - The distance a moving body travels, d, varies...Ch. 7.5 - The number of hours it takes for ice to melt...Ch. 7.5 - Xander’s new business found that the daily demand...Ch. 7.5 - In the following exercises, solve each proportion....Ch. 7.5 - In the following exercises, solve each proportion....Ch. 7.5 - In the following exercises, solve each proportion....Ch. 7.5 - In the following exercises, solve each proportion....Ch. 7.5 - In the following exercises, solve each proportion....Ch. 7.5 - In the following exercises, solve each proportion....Ch. 7.5 - In the following exercises, solve each proportion....Ch. 7.5 - In the following exercises, solve each proportion....Ch. 7.5 - In the following exercises, solve each proportion....Ch. 7.5 - In the following exercises, solve each proportion....Ch. 7.5 - In the following exercises, solve. 263. Kevin...Ch. 7.5 - In the following exercises, solve. 264. Jesse’s...Ch. 7.5 - In the following exercises, solve. 265....Ch. 7.5 - In the following exercises, solve. 266. A...Ch. 7.5 - In the following exercises, solve. 267. A new...Ch. 7.5 - In the following exercises, solve. 268. One...Ch. 7.5 - In the following exercises, solve. 269. Kyra is...Ch. 7.5 - In the following exercises, solve. 270. Maurice is...Ch. 7.5 - In the following exercises, solve. 271. Ronald...Ch. 7.5 - In the following exercises, solve. 272. Sonya...Ch. 7.5 - In the following exercises, solve. 273. Phil wants...Ch. 7.5 - In the following exercises, solve. 274. An oatmeal...Ch. 7.5 - In the following exercises, the triangles are...Ch. 7.5 - In the following exercises, the triangles are...Ch. 7.5 - In the following exercises, use the map shown. On...Ch. 7.5 - In the following exercises, use the map shown. On...Ch. 7.5 - In the following exercises, use the map shown. On...Ch. 7.5 - In the following exercises, use the map shown. On...Ch. 7.5 - In the following exercises, answer each question....Ch. 7.5 - In the following exercises, answer each question....Ch. 7.5 - In the following exercises, answer each question....Ch. 7.5 - In the following exercises, answer each question....Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - Mike, an experienced bricklayer, can build a wall...Ch. 7.5 - It takes Sam 4 hours to rake the front lawn while...Ch. 7.5 - Mia can clean her apartment in 6 hours while her...Ch. 7.5 - Brian can lay a slab of concrete in 6 hours, while...Ch. 7.5 - Josephine can correct her students test papers in...Ch. 7.5 - Washing his dad’s car alone, eight year old Levi...Ch. 7.5 - At the end of the day Dodie can clean her hair...Ch. 7.5 - Ronald can shovel the driveway in 4 hours, but if...Ch. 7.5 - In the following exercises, solve. 313. If y...Ch. 7.5 - In the following exercises, solve. 314. If a...Ch. 7.5 - In the following exercises, solve. 315. If p...Ch. 7.5 - In the following exercises, solve. 316. If v...Ch. 7.5 - In the following exercises, solve. 317. The price,...Ch. 7.5 - In the following exercises, solve. 318. Joseph is...Ch. 7.5 - In the following exercises, solve. 319. The mass...Ch. 7.5 - In the following exercises, solve. 320. The length...Ch. 7.5 - In the following exercises, solve. 321. The...Ch. 7.5 - In the following exercises, solve. 322. The area...Ch. 7.5 - In the following exercises, solve. 323. If y...Ch. 7.5 - In the following exercises, solve. 324. If p...Ch. 7.5 - In the following exercises, solve. 325. If v...Ch. 7.5 - In the following exercises, solve. 326. If a...Ch. 7.5 - In the following exercises, write an inverse...Ch. 7.5 - In the following exercises, write an inverse...Ch. 7.5 - In the following exercises, write an inverse...Ch. 7.5 - In the following exercises, write an inverse...Ch. 7.5 - In the following exercises, write an inverse...Ch. 7.5 - In the following exercises, write an inverse...Ch. 7.5 - In the following exercises, write an inverse...Ch. 7.5 - In the following exercises, write an inverse...Ch. 7.5 - Marisol solves the proportion 144a=94 by ‘cross...Ch. 7.5 - Paula and Yuki are roommates. It takes Paula 3...Ch. 7.5 - In your own words, explain the difference between...Ch. 7.5 - Make up an example from your life experience of...Ch. 7.6 - Solve and write the solution in interval notation:...Ch. 7.6 - Solve and write the solution in interval notation:...Ch. 7.6 - Solve and write the solution in interval notation:...Ch. 7.6 - Solve and write the solution in interval notation:...Ch. 7.6 - Solve and write the solution in interval notation:...Ch. 7.6 - Solve and write the solution in interval notation:...Ch. 7.6 - Solve and write the solution in interval notation:...Ch. 7.6 - Solve and write the solution in interval notation:...Ch. 7.6 - Given the function R(x)=x2x+4 , find the values of...Ch. 7.6 - Given the function R(x)=x+1x4 , find the values of...Ch. 7.6 - The function C(x)=20x+6000 represents the cost to...Ch. 7.6 - The function C(x)=5x+900 represents the cost to...Ch. 7.6 - In the following exercises, solve each rational...Ch. 7.6 - In the following exercises, solve each rational...Ch. 7.6 - 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Write the steps you would use to explain solving...Ch. 7.6 - Create a rational inequality whose solution is...Ch. 7 - In the following exercises, determine the values...Ch. 7 - In the following exercises, determine the values...Ch. 7 - In the following exercises, determine the values...Ch. 7 - In the following exercises, determine the values...Ch. 7 - In the following exercises, simplify. 381. 1824Ch. 7 - In the following exercises, simplify. 382....Ch. 7 - In the following exercises, simplify. 383....Ch. 7 - In the following exercises, simplify. 384....Ch. 7 - In the following exercises, multiply. 385. 58415Ch. 7 - In the following exercises, multiply. 386....Ch. 7 - In the following exercises, multiply. 387....Ch. 7 - In the following exercises, multiply. 388....Ch. 7 - In the following exercises, divide. 389....Ch. 7 - In the following exercises, divide. 390....Ch. 7 - In the following exercises, divide. 391....Ch. 7 - In the following exercises, divide. 392....Ch. 7 - In the following exercises, divide. 393....Ch. 7 - In the following exercises, divide. 394....Ch. 7 - Find R(x)=f(x)g(x) where f(x)=9x2+9xx23x4 and...Ch. 7 - Find R(x)=f(x)g(x) where f(x)=27x23x21 and...Ch. 7 - In the following exercises, perform the indicated...Ch. 7 - In the following exercises, perform the indicated...Ch. 7 - In the following exercises, perform the indicated...Ch. 7 - In the following exercises, perform the indicated...Ch. 7 - In the following exercises, perform the indicated...Ch. 7 - In the following exercises, perform the indicated...Ch. 7 - In the following exercises, perform the indicated...Ch. 7 - In the following exercises, perform the indicated...Ch. 7 - In the following exercises, add and subtract. 405....Ch. 7 - In the following exercises, add and subtract. 406....Ch. 7 - In the following exercises, add and subtract. 407....Ch. 7 - In the following exercises, add and subtract. 408....Ch. 7 - In the following exercises, find the LCD. 409....Ch. 7 - In the following exercises, find the LCD. 410....Ch. 7 - In the following exercises, find the LCD. 411....Ch. 7 - 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In the following exercises, solve. 450. t35=t+29Ch. 7 - In the following exercises, solve. 451. 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- In the following exercises, write an inverse variation equation to solve the following problems. 327. The fuel consumption (mpg) of a car varies inversely with its weight. A Toyota Corolla weighs 2800 pounds getting 33 mpg on the highway. (a) Write the equation that relates the mpg to the car’s weight. (b) What would the fuel consumption be for a Toyota Sequoia that weighs 5500 pounds?arrow_forwardIn the following exercises, solve. 324. If p varies inversely with q and p=2 when q=1 , find the equation that relates p and q.arrow_forwardIn the following exercises, write an inverse variation equation to solve the following problems. 331. Paul, a dentist, determined that the number of cavities that develops in his patient’s mouth each year varies inversely to the number of minutes spent brushing each night. His patient, Lori, had four cavities when brushing her teeth 30 seconds (0.5 minutes) each night. (a) Write the equation that relates the number of cavities to the time spent brushing. (b) How many cavities would Paul expect Lori to have if she had brushed her teeth for 2 minutes each night?arrow_forward
- In the following exercises, write an inverse variation equation to solve the following problems. 333. The cost of a ride service varies directly with the distance traveled. It costs $35 for a ride from the city center to the airport, 14 miles away. (a) Write the equation that relates the cost, c, with the number of miles, m. (b) What would it cost to travel 22 miles with this service?arrow_forwardIn the following exercises, solve. 326. If a varies inversely with b and a=12 when b=13 , find the equation that relates a and b.arrow_forwardIn the following exercises, solve. 323. If y varies inversely with x and y=5 when x=4 , find the equation that relates x and y.arrow_forward
- In the following exercises, write an inverse variation equation to solve the following problems. 330. On a string instrument, the length of a string varies inversely as the frequency of its vibrations. An 11-inch string on a violin has a frequency of 400 cycles per second. (a) Write the equation that relates the string length to its frequency. (b) What is the frequency of a 10 inch string?arrow_forwardIn the following exercises, write an inverse variation equation to solve the following problems. 329. The time required to empty a tank varies inversely as the rate of pumping. It took Ada 5 hours to pump her flooded basement using a pump that was rated at 200 gpm (gallons per minute). (a) Write the equation that relates the number of hours to the pump rate. (b) How long would it take Ada to pump her basement if she used a pump rated at 400 gpm?arrow_forwardIn the following exercises, solve. 322. The area of a circle varies directly as the square of the radius. A circular pizza with a radius of 6 inches has an area of 113.04 square inches. (a) Write the equation that relates the area to the radius. (b) What is the area of a personal pizza with a radius 4 inches?arrow_forward
- In the following exercises, solve. 320. The length that a spring stretches varies directly with a weight placed at the end of the spring. When Sarah placed a 10-pound watermelon on a hanging scale, the spring stretched 5 inches. (a) Write the equation that relates the length of the spring to the weight. (b) What weight of watermelon would stretch the spring 6 inches?arrow_forwardIn the following exercises, solve. 476. The distance that Sarah travels varies directly to how long she drives. She travels 440 miles in 8 hours. a. Write the equation that relates the distance to the number of hours. b. How far can Sally travel in 6 hours?arrow_forwardIn the following exercises, solve. 478. The length that a spring stretches varies directly with a weight placed at the end of the spring. When Sarah placed a 10 pound watermelon on a hanging scale, the spring stretched 5 inches. a. Write the equation that relates the length of the spring to the weight. b. What weight of watermelon would stretch the spring 6 inches?arrow_forward
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