In 2012 your car was worth $10,000. In 2014 your car was worth $8,850. Suppose the value of your car decreased at a constant rate of change. Define a function f to determine the value of your car (in dollars) in terms of the number of years t since 2012.

The function to determine the value of your car (in dollars) in terms of the number of years t since 2012 is:

Step-by-step explanation:

Value of the car:

Constant rate of change, so the value of the car in t years after 2012 is given by:

In which f(0) is the initial value and r is the decay rate, as a decimal.

In 2012 your car was worth $10,000.

This means that , thus:

2014 your car was worth $8,850.

2014 - 2012 = 2, so:

We use this to find 1 - r.

Thus

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step-by-step explanation:

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