A quarterback is standing at the top of the bleachers, trying to throw the football as high into the air as he can. He picks up the football so that it is 47 feet above the ground, and throws the football as high as he can. The height of the football after t

Question

seconds can be modeled by the expression −16t2+32t+47
. What does 47 represent in the context of the problem?(1 point)
Responses

47 represents the height of the football when the quarterback throws it.
47 represents the height of the football when the quarterback throws it.

47 does not make sense as a value in this problem.
47 does not make sense as a value in this problem.

47 represents the number of footballs they have at practice at a given time.
47 represents the number of footballs they have at practice at a given time.

47 represents the number of seconds the quarterback holds the football before throwing it.

Answer 1

In the context of the problem, the expression \( -16t^2 + 32t + 47 \) represents the height of the football at any time \( t \) seconds after it is thrown. The term \( 47 \) in the expression indicates the initial height from which the football is thrown, which is 47 feet above the ground.

Therefore, the correct interpretation is:

47 represents the height of the football when the quarterback throws it.