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

The coordinates of the point on path where the two pumpkins meet.

Explanation:

Here we are given with the equation of the path followed by two pumpkins

`h_(a)(X)=-0.01x^(2)+0.32x+4`

`h_(b)(X)=-0.01x^(2)+0.18x+5`

Where (x) is the height and x represents the distance travelled.

The intersection point of the two equations will represent the point on the path where the two pumpkins meet each other.

In order to find that we put

`h_(a)(X)=h_(b)(X)`

and solve for x and find h(x) for that value of x.