CPM Homework Help : INT1 Problem 8-59

Jeffe and Tomas collected the following data for a bouncing basketball. What is their rebound ratio as a percent? Write a model for their data and then sketch a graph of the situation.

Bounce number ( $x$ )	$1$	$2$	$3$	$4$
Height, cm ( $y$ )	$80$	$64$	$51$	$41$

Hint 1:

Look at the ratios of the successive $y$ -values.

$\frac{64}{80}=0.8 \ \ \ \ \frac{51}{64}\approx 0.8$

Hint 2:

Use the general form of an exponential equation: $y = a \cdot b^{x}$ . The parameter, $b$ , is the constant ratio, $0.8$ .
To find the $a$ -value, find the $0^{th}$ term.

Hint 3:

To find the $0^{th}$ term, divide the first term, $80$ , by $0.8$