Question

The height y (in feet) of a baseball thrown by a child is

y = -1/10 x^2 + 3x + 6

where x is the horizontal distance (in feet) from where the ball was thrown.

Will the ball fly over the head of another child 30 feet away trying to catch the ball?

(Assume that the child who is trying to catch the ball holds a baseball glove at a height of 5 feet.)

Answer 1

y = ( - 1 / 10 ) x ^ 2 + 3 x + 6


for x = 30 ft

y = ( - 1 / 10 ) * 30 ^ 2 + 3 * 30 + 6 =

( - 1 / 10 ) * 900 + 90 + 6 =

- 900 / 10 + 90 + 6 =

- 90 + 90 + 6 = 6 ft

6 ft > 5 ft

The ball will fly over the head of another child.