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?

   Hint (a):

   $100\%−60\%$ ($1.00 − 0.60$)

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

   Hint (b):

   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.

   Answer (c):

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

4. When does the DVD player have no value?

   Hint (d):

   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.