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.

Respuesta :

Answer:

[tex]32in[/tex].

Step-by-step explanation:

The given equation is

[tex]y=-3.5x^2-0.5x+65[/tex].

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

For the third bounce, we plug in [tex]x=3[/tex]

[tex]\Rightarrow y=-3.5(3)^2-0.5(3)+65[/tex].

Simplify

[tex]\Rightarrow y=-31.5-1.5+65[/tex].

[tex]\Rightarrow y=32in[/tex].