A car was purchased for $3,495 and will depreciate 20% of the original price each year.

Find a linear function for the value of the car at time t in years. Define variables clearly.

Graph the function you found in part A. A claim is made that the car will not be worth anything in five years. Do you agree with this claim?

Explain. In your explanation include the following:

State the problem in your own words. Describe the strategy used to solve the problem. Clearly state your answer and explain why it is reasonable.

Tell whether you agree with the claim, explaining why or why no

Question

Mathematics

Valentino Gamble

29 March, 23:23

A car was purchased for $3,495 and will depreciate 20% of the original price each year.

Find a linear function for the value of the car at time t in years. Define variables clearly.

Graph the function you found in part A. A claim is made that the car will not be worth anything in five years. Do you agree with this claim?

Explain. In your explanation include the following:

State the problem in your own words. Describe the strategy used to solve the problem. Clearly state your answer and explain why it is reasonable.

Tell whether you agree with the claim, explaining why or why no

+2

Answers (1)

Know the Answer?

Danica Goodwin · Answer 1

Original price: $3,495

Yearly price decrease = 0.2 x 3,495 = $699 per year

Let y be the value of the car and x be the number of years:

y = 3495 - 699x

After 5 years,

y = 3495 - 699 (5)

= $0

In order to solve this problem, we set up a linear equation where the variables were the value of the car and the time passed since purchase. The claim that the car will not be anything is true to an extent because its price has dropped to 0 according to our function; however, practically, a car cannot be $0 so it will be worth at least something, however smaller than its original price.