### Home > CC4 > Chapter 8 > Lesson 8.1.4 > Problem 8-60

Assume that a 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.

*8-60 HW eTool*(Desmos). Homework Help ✎What multiplier would you use to calculate the DVD player’s new values?

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

Write a continuous function,

*V*(*t*), to model the value of a DVD player after*t*years.When does the DVD player have no value?

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

100% − 60% (1.00 − 0.60)

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

*V*(*t*) = 80(0.4)^{t}

Let *V*(*t*) = 0 in the equation in part (c).

Solve for *t*. What happens?

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.