Home > GB8I > Chapter 8 Unit 9 > Lesson INT1: 8.1.4 > Problem8-60

8-60.

Assume that a DVD player loses $60$% of its value every year it is in a video store. Suppose the initial value of the DVD player was \$$80$.

1. What multiplier would you use to calculate the DVD player’s new values?

$100\%−60\%$ ($1.00 − 0.60$)

2. What is the value of the DVD player after one year? After four years?

Use your multiplier from part (a) to calculate these values.

3. Write a continuous function, $V(t)$, to model the value of a DVD player after $t$ years.

$V(t) = 80(0.4)^t$

4. When does the DVD player have no value?

Let $V(t) = 0$ in the equation in part (c).
Solve for $t$. What happens?

5. Sketch a graph of this function. Be sure to scale and label the axes.

Use the eTool below to help answer part (e) of the problem.
Click the link at the right to view full version of the eTool:Int1 8-60 HW eTool.