Question

The selling price of a car is $11,000. Each year, it loses 17% of its value.Find the exponential function that gives the value of the car t years after its purchase. Write your answer in the form f(t)=a(b)t.

Answer 1

The answer is "
`\bold{11000(0.83)^t}`".

Explanation:

`\bold{ \text{selling price}} = \$ 11,000 \\\\\bold{ \text{loses}} = 17 \%`

`\bold{\to f(t)= c (1-r)^t} \\\\`

`=11,000 (1- 0.17)^t\\\\=11,000(0.83 )^t`