Write the equation of a function if its rate of changeis -8 and its initial value is -7.

Q: The percentage of mothers who smoke cigarettes during pregnancy has declined approximately linearly…

A: Given that the percentage of mothers who smoke cigarettes during pregnancy has declined…

Q: Which shows where the function is decreasing?

A: The graph of the function f(x) is shown. The function f is increasing if the derivative of function…

Q: The price of 1 gallon of unleaded gasoline at the pump dropped to $2.19 on January 1, 2015, and…

A: As the price of  1 gallon of unleaded gasoline is decreasing  4 cents per month starting from…

Q: One yardstick for measuring how steadily—if slowly— athletic performance has improved is the mile…

A: Given, In 1954, Roger Bannister of Britain cracked the 4-minute mark, setting the record for running…

Q: Find the average rate of change f(x) = - X² + 6/X

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Q: Between 2006 and 2016, the number of applications for patents, N. grew by about 4.5% per year. That…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The math club is experiencing a growth in membership. On average, they are seeing a growth of 3%…

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Q: I can’t understand how to find a equation for the function even with the plotted point?

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Q: 9. y = 3x2 – 2vx at (1, -9)

A: To find slope.

Q: Create a table to represent the amount of money that Khalil has earned for babysitting as a function…

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Q: According to the National Center for Health Statistics, in 1990, 28% of babies in the United States…

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Q: Identify the rate of change of each function.

A: Given graphs: Coordinates are marked as black dots. To find: The rate of change of the lines.…

Q: Is the rate of change of a linear function constant? Explain.

A: The function is a linear function. The linear function is of the form Ax+B, here A and B are the…

Q: Explain Functions of More Than Two Variables?

A: A real valued function of n variables is a function that takes as input n real numbers, commonly…

Q: When the price of a certain commodity is p dollars per unit, the manufacturer is willing to supply x…

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Q: Which relationship represents a function with the same rate of change as the function graphed?

A: Given that:

Q: The average births per woman in a certain developing country can be modeled according to the…

A:

Q: The equation that represents the horizontal distance from the rider to the vertical axis as a…

A: Consider a sinusoidal function of the form, y=AcosBx±C±D Here,  A represents the amplitude of the…

Q: If a function has rate of change2/3and y = 9 when x = 3, write its equation.

A: If a function has rate of change 2/3 and y = 9 when x = 3, write its equation.

Q: Find the rate of change between (2,3) and (-4,-1) Rate of change =

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Q: Find the Relative Rate of Change for the function y = 2xe3

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Q: The education of women in Oman in the year 1999 was (30+S) percentages. It was increased to (75+R)…

A: Women education in Oman: Given: S=1 and R=5. In year 1999 - (30+S)%=31% In year 2015 - (75+R)%=80%.…

Q: • What equation represents the amount if hay, y, she will have left after x days? • Is there another…

A: Consider the given graph. As, the line of the graph start from the  point (0,10) and ends on the…

Q: Write an equation for the function graphed below 5- 4. 3 . 2 - -3 -1 -1 1 2 4 -2 - -3 - -4 -5+ y =

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Q: A banquet hall charges $975 to rent a reception room, plus $39.95 per person. Next month, however,…

A: Given that, the banquet hall charges $975 to rent a reception room, plus $39.95 per person. Let the…

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A: Given that the daily profit (in dollars) from the production and sales of x units of a product is…

Q: It takes Josephine 34 minutes to complete her homework assignment of 10 problems. If we assume that…

A: lets say number of problems = n

Q: Alba invested $20,000 and earned 8% annual interest on her investment. Write an equation that models…

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Q: A company pays $20 per hour for up to 8 hours of work, and $30 per hour for overtime hours (hours…

A:

Q: Use the graph of the function to find its average rate of change from x = -9 to x -5. Simplify your…

A: average rate of change be "R"points x=-9 , x=-5Rate of change is gevn by R=f(b)-f(a)b-aat x=-9 ,…

Q: Suppose an insect population increases by a constant number each month. Explain why the number of…

A: Given : An insect population increase by a constant number each month.

Q: The average price for a movie ticket in Detroit, Michigan was $8 in 2010, and it increases at 7% per…

A: To Determine: The average price for a movie ticket in Detroit, Michigan was $8 in 2010, and it…

Q: What is the average rate of change of -x^3+2x-4

A: Given, -x3+2x-4 To find the average rate differentiate given function with respect to x we get,…

Q: Find the average rate of change off(x) = 3x-3x-2 from x = 1 tox= 3. Simplify your answer as much as…

A:

Q: Find the relative rate of change if f(x)= 10 – 3e-4. %3D |

A: Given,           The relative rate of change of f(x)=10-3e-4xWe know that that,         The relative…

Q: Is the table below linear or exponential and why? Please write a function of this table. x y 0 -16…

A: Consider the given table. Since, every next value is equal of y to the multiple of 12 and first…

Q: The cost of a new television is $948. If the value of the television decreases by 4.5% every year,…

A: The exponential decay function is given by y=a1-r100t where a = initial value r = rate of decay t =…

Q: Use combining functions and rates of change to solve:

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: . Write the equation of a function if its rate of changeis -15 and its initial value is 12.

A: Given:- Initial value of a function = −15 Rate of change of function = 12 To find equation.

Q: There were around 70,000 black rhinos in the world in 1970. After that, their population declined by…

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Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

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Q: Which equation represents a linear function

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Q: The number of wolves in the wild in the northern section of the Cataragas county is decreasing at…

A: P(t)=P0(1-r)t r is the rate of decreasingP0 is the initial populationP(t) is the population after t…

Q: In 2000, the average weekly salary for workers in the United States was $567. This amount has…

A: In 2000, the average weekly salary for workers in the United States was $567. This amount has…

Q: The number of cats in Eugene is increasing at a constant rate. Four weeks ago, the number of cats…

A: (a) Consider the increase in number of cats in four weeks is, 50000-48000=2000 Then, the rate of…

Q: Write an equation for a linear function whose graph has the given characteristics. Passes through…

A: Given query is to find equation of the line.

Q: The price of a computer component is decreasing at a rate of 14​% per year. State whether this…

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Q: Find the relative rate of change if f(x) = 10 - 3e-42. |

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.