Question

during a pumpkin launching contest, two pumpkins are launched at the same time. the path of pumpkin a is modeled by the equation $y = -0.01x^2 + 0.32x + 4$. the path of pumpkin b is modeled by the equation $y = -0.01x^2 + 0.18x + 5$. if $x$ represents the distance the pumpkin traveled in feet and $y$ represents height of the pumpkin in feet, what does the intersection point of the equations represent?○ the height at which the pumpkins reach their greatest horizontal distance from the launch site○ the horizontal distance of the pumpkins from the launch site when they reach the ground○ the starting height of the pumpkins when they are at the launch site○ the horizontal distance of the pumpkins from the launch site when their heights are the same

Explanation:

Each equation defines height ($y$) as a function of horizontal distance ($x$) for a pumpkin. The intersection of two equations occurs where their $x$ and $y$ values are equal. Here, this means both pumpkins are at the same horizontal distance from the launch site and have the same height at that point.

Answer:

the horizontal distance of the pumpkins from the launch site when their heights are the same