Question

Anna purchased a new car for $25,000. The car will decrease in value 15% each year.
The value of Anna's car is modeled on the graph by function f where x is the time in years after Anna purchases her car.

Answer 1

Answer:

The answer is C the last paragraph 3750

Step-by-step explanation:

Answer 2

I will assume that we want to find the function that predicts the value of the car after x years, which likely is an exponential decay.

The function is: f(x) = $25,000*(0.85)^x

And the graph can be seen at the end of the answer.

We know that the value of the car decreases by 15% each year, then we can model this with an exponential decay.

The general exponential decay is given by:

f(x) = A*(1 - r)^x

Where:

A is the initial value, then we have A  = $25,000

x is the variable, in this case, would represent time in years.

r is the rate of decay, in this case, is the quotient between the percentage that decreases and 100%, so we will get: r = 15%/100% = 0.15

Then the exponential equation is:

f(x) = $25,000*(1 - 0.15)^x

     = $25,000*(0.85)^x

This is the function that models the value of the car after x years, the graph can be seen below.

If you want to learn more, you can read:

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