A car loses value each year the value of the car (t) years ‏ can be modeled using the function f (t) = 15000 (0.85) ^t. If Elizabeth wants to sell her car in 2 1/3 years what will the cars value be when she sells it?

Question

Mathematics

Arianna Garrett

2 September, 13:32

A car loses value each year the value of the car (t) years ‏ can be modeled using the function f (t) = 15000 (0.85) ^t. If Elizabeth wants to sell her car in 2 1/3 years what will the cars value be when she sells it?

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Alexandra Barnes · Answer 1

F (t) = 15000 (0.85) ^t = > f (t) = $15000 (0.85) ^t

Substitute 2 1/3 for t in this equation. This is equivalent to 7/3.

f (7/3) = $15000 (0.85) ^ (7/3)

= $10266.02 (answer)