Question

Monique is punting a football and the height the ball travels is a function of time. The function h(s)=−s2+10s+3 gives the height of the ball, h(s) , given the number of seconds, s , that the ball has been in the air. After flying through the air for 7.5 seconds, what is the height of the ball? Find h(7.5) .(1 point)
Responses

21.5
21.5

24
24

21.75
21.75

134.25

Answer 1

21.75

To find h(7.5), plug in s=7.5 into the function h(s):

h(7.5) = -(7.5)^2 + 10(7.5) + 3
h(7.5) = -56.25 + 75 + 3
h(7.5) = 21.75

Therefore, after flying through the air for 7.5 seconds, the height of the ball is 21.75.