llment was 1257, and this number had grown to 1917 after 3 years.

The following equation approximates the value of the U.S. Consumer Price Index (CPI) from December 2006 through July 2007: ?(?)=−0.04?3+0.4?2+0.1?+202  Where t is the time in months since the start of December 2006. Determine when inflation was speeding up and slowing down between the start of December 2006 and the start of July 2007.

(b) Tara's aunt invests $2000 for her when she is born. The interest rate is 3.5% per year. This rate does not change as long as the money stays invested. The interest is added to the amount she has invested on her birthday each year. The value of the investment after years can be modelled by the equation A = 2000 ×(1.035)' where the A is the value of the investment. (1) How long would it take for the value of the investment to be $2250? (ii) Tara reaches her 18th birthday. Calculate how much extra the investment will be worth if she leaves the money invested for another 3 years beyond her 18th birthday. (iii) Tara is calculating 2000 x 1.035™ (1.035"-1) With reference to the investment, explain what Tara is calculating.

The equation =y90001.08x describes the amount of an investment (in dollars) based on the number of years it's been allowed to grow   (a) Identify what the equation y= 90001.08x illustrates. b) determine the rate at which the investment was growing by each year.

if current trends continue, the median weekly earnings(in dollars) that a male can expect to earn is approximately by the equation y=17.4x+639, where x=0 corresponds to the year 2000. In what year will males achieve median weekly earnings of $900?

Your neighborhood has seen some growth in squirrel population over the past couple years. Two years ago you noticed eight squirrels living in your and your neighbor’s yards. Last year you counted 12 squirrels. Currently, there are 18 squirrels that live in the yards. Write an equation representing this situation. If this rate of growth continues, how many squirrels should you expect to see 5 years from now?

The number of streetlights in a town is growing linearly. Four months ago (t = 0) there were 47 lights. Now (t = 4) there are 107 lights. If this trend continues, (a) Find an explicit formula for the number of lights in month t. P₁ = lights (b) How many months will it take to reach 211 lights? Round your answer to the nearest month. months.

Suppose a rumor is spreading that the government plans to give each college student $1000. Asssume that 20 people have heard the rumor as of today and that each day the number of people (past and present) who have heard it triples. Let f(t) be the number of people (past and present) who have heard the rumor at t days since today. a. Find an equation of f. b. How many people (past and present) will have heard the rumor 10 days from now? c. How many people (past and present) will have heard the rumor 15 days from now? Has model breakdown occurred? [Hint: Assume that the population is 112 million.] a. Find an equation of f. f(t) = ¹ b. How many people (past and present) will have heard the rumor 10 days from now? people c. How many people (past and present) will have heard the rumor 15 days from now? people Has model breakdown occurred? A. Model breakdown has occurred because the value for f(15) is greater than the population. B. Model breakdown has not occurred because the value for…

(1) Delbert is scuba diving at a depth of 400 meters when he begins to ascend. He ascends by 10 meters each minute. Write an equation for Delbert’s altitude, A, in terms of t. Also: Complete the table of values showing Delbert’s altitude, A, t minutes after starting his ascent.  t    =   0        10       20     30       40 A   =   ?          ?         ?        ?         ?

The food waste in the school's cafeteria for one week after school started was 32 of food was 44 gallons four weeks after school started. If we assume that the amount of food increases by the same amount each week: (a) Calculate the rate of change. (b) Give an equation that can be used to calculate the amount of food waste in the school's cafeteria 2 weeks after school started.