Question

During a pumpkin launching contest, two pumpkins are launched at the same time. The path of pumpkin A is modeled by the equation h(x) = –0.01x2 + 0.32x + 4. The path of pumpkin B is modeled by the equation h(x) = –0.01x2 + 0.18x + 5. If x represents the distance the pumpkin traveled and h(x) represents height, what does the intersection point of the equations represent?

Answer 1

You just need to solve for x in the equation:
–0.01x^2 + 0.32x + 4 = –0.01x^2 + 0.18x + 5
0.18x=1
x= 5.55
h(5.55) = -0.01*30.86+0.18*5.55+5 = -0.3086+1+5=5.6914

The intersection point is (5.55, 5.69).
I hope that this is the answer that you were looking for and it has helped you.

Answer 2

D.) The distance at which the height of the pumpkins are the same.