### Home > GB8I > Chapter 11 Unit 12 > Lesson INT1: 11.1.3 > Problem11-31

11-31.

Over a three-year period, the value of a vintage VHS tape of “Charlene’s Greatest Hits” decreased from $20$ to $1.99$.

1. What were the annual multiplier and annual percent decrease?

$20(m)(m)(m) = 1.99$

The multiplier is $0.463$.
How can you use that to find the percent decrease?

2. Write the equation of a function that describes this situation.

Use the starting value and multiplier you found in part (a) to write the equation.

$y = 20(0.463)^{x}$

3. Make a sketch of the graph of the function and a table of values for the first 5 years.