Question

Kenny is standing on top of a boulder at his neighborhood pond. He picks up a small rock, so that it is 7 feet off the ground, and throws the rock into the pond. The height of the rock after t seconds can be modeled by the expression −16t2+32t+7 . What does 7 represent in the context of the problem?(1 point) Responses 7 represents the number of rocks Kenny found at the pond. 7 represents the number of rocks Kenny found at the pond. 7 does not make sense as a value in this problem. 7 does not make sense as a value in this problem. 7 represents the height of the rock when Kenny throws it. 7 represents the height of the rock when Kenny throws it. 7 represents the number of seconds Kenny hold the rock before throwing it.

Answer 1

In the context of the problem, 7 represents the height of the rock when Kenny throws it. This is because the expression given for the height of the rock, \( -16t^2 + 32t + 7 \), is a quadratic equation where the constant term (7) indicates the initial height at which the rock is thrown, measured from the ground. Thus, the correct response is:

**7 represents the height of the rock when Kenny throws it.**