### Home > PC3 > Chapter 10 > Lesson 10.1.2 > Problem10-35

10-35.

When Kora graduates, she plans to purchase a hybrid car for $26{,}000$. She does some research and finds that in the first year the value of the car drops by $500$ each month. After that, the value drops $14\%$ per year.

1. Write a piecewise-defined function to model the value of the car with respect to the number of months since Kora purchased the car.

Decide if the time in your function will be months or years. The first piece should be a linear function, the second an exponential (decay) function.

To write the expression for the exponential piece of the function, determine what the car will be worth after 1 year.

2. What will the car be worth 10 years after Kora purchases it?

Evaluate your function from part (a) for $t = 10$ years.