Question

Drag each label or value to the correct location on the image. Each label or value can be used more than once, but not all labels or values will be used.

A physics student drops a ball from a height of 64 feet into a vacant parking lot. After one bounce, the height of the ball is 48 feet, and after two bounces, the height of the ball is 36 feet.

This situation can be modeled by the following exponential function.

f(x)=64(0.75)^x

Complete the sentences below.

The variable, (___), represents the number of times the ball bounces.
The variable,(___), represents the height of the ball after (___) bounces.
The parameter,64, represents the (___) of the ball.
The parameter,0.75, represents the percentage of (___) left from each previous bounce.

A. Bounces
B. f(x)
C. 36
D. x
E. Initial height
F. Height

Answer 1

x, f(x), x, initial height, and height

Explanation:

The variable, x, represents the number of times the ball bounces.

The variable, f(x), represents the height of the ball after x bounces.

The parameter, 64, represents the initial height of the ball.

The parameter, 0.75, represents the percentage of height left from each previous bounce.