Question

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?

The height at which the pumpkins reach the greatest distance.
The distance at which the pumpkins both hit the ground.
The starting height at which the pumpkins are launched.
The distance at which the height of the pumpkins are the same.

Answer 1

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

Explanation:

An intersection between the graph of both equations would mean that they would share the same x and y coordinates.

Since y refers to the height of the pumpkin, then having the same y coordinate would mean being at the same height at that exact distance.