The value of a car is $21,500. It loses 12% of its value every year.

Part A: Write a function that represents the value y (in dollars) of the car after x years.

Part B: Use the function to estimate the value of the car after 6 years. (round your answer to the nearest whole number)

Question

Mathematics

Devin Simon

26 September, 12:58

The value of a car is $21,500. It loses 12% of its value every year.

Part A: Write a function that represents the value y (in dollars) of the car after x years.

Part B: Use the function to estimate the value of the car after 6 years. (round your answer to the nearest whole number)

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Answers (1)

Know the Answer?

Araceli Ortega · Answer 1

Part A:

For this case we have a function of the form:

y = A * (b) ^ x

Where,

A: initial value

b: decrease rate

x: time in years

Substituting values:

y = 21500 * (0.88) ^ x

Part B:

For 6 years we have:

y = 21500 * (0.88) ^ 6

y = 9984.687866

Rounding off we have:

y = 9985 $

The value of a car is $21,500. It loses 12% of its value every year.Part A: Write a function that represents the value y (in dollars) of the car after x years.Part B: Use the function to estimate the value of the car after 6 years. (round your answer to the nearest whole number)

The value of a car is $21,500. It loses 12% of its value every year.

Part A: Write a function that represents the value y (in dollars) of the car after x years.

Part B: Use the function to estimate the value of the car after 6 years. (round your answer to the nearest whole number)