Given equation is y = -3.5x[tex] ^{2} [/tex]-0.5x+65
y represents the height of the ball and x represents the number of bounces.
After 3rd bounce, so plug in x= 3
in the given equation, we get
Y=-3.5(3)[tex] ^{2} [/tex]-0.5(3) + 65
y = - 3.5 (9) - 0.5(3) + 65
y = - 31.5 - 1.5 + 65
y = -31.5 - 1.5 +65
Y = - 33 + 65
y = 32
So best approximate height of the ball after 3rd bounce is 32 in.
