Question

WORTH 30 POINTS PLS HELP!

Answer 1

Answer:

The y-intercept is y = 80feet. The initial height of the balloon is 80feet.

Step-by-step explanation:

$h(x)=-16x^2+64x+80$

The y-intercept of the function happens when the x-value = 0. So let's plugin x=0 into the function:

$h(x)=-16x^2+64x+80\\h(x)=-16(0)^2+64(0)+80\\h(x)=80$

The y-intercept is y = 80feet

x represents the number of hours after starting its ascent from the hill, so x = 0hr means when the balloon is just starting to ascent. At the start of the ascent, the balloon has an altitude of 80feet. The initial height of the balloon is 80feet.