Jon is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when it falls back to a height of 4 feet. The height of the ball is given by h = 5 + 25t - 16t^2, where h is measured in feet and t is measured in seconds. How many seconds after throwing the ball does Jon hit it?

Step-by-step explanation:

Functions

We are given the function that relates the height of the ball and the time elapsed t. The function is:

We need to know the time needed for the height to reach 4 feet, that is h=4

Rearranging

Solving for t

The other solution is negative and is discarded because t cannot be negative.

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.