Question

The equation y= -3.5x^2 - 0.5x + 65 models the height of a ball in inches for each bounce

what is the best approximate for the height of the ball after the 3rd bounce?

7 in.
14 in.
32 in.
50 in.

Answer 1

`32in`.

Explanation:

The given equation is

`y=-3.5x^2-0.5x+65`.

This equation models the height of a ball after each bounce.

For the third bounce, we plug in
`x=3`

`\Rightarrow y=-3.5(3)^2-0.5(3)+65`.

Simplify

`\Rightarrow y=-31.5-1.5+65`.

`\Rightarrow y=32in`.