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 seconds can be modeled by
the expression -16t² + 32t+ 47. What does 47
represent in the context of the problem? (1 point)
47 does not make sense as a value in this problem.
47 represents the number of seconds the quarterback
holds the football before throwing it.
47 represents the height of the football when the
quarterback throws it.
47 represents the number of footballs they have at
practice at a given time.

1 answer

In the context of the problem, 47 represents the height of the football when the quarterback throws it. The expression for the height of the football after \( t \) seconds is given as \(-16t^2 + 32t + 47\), and the constant term (47) indicates the initial height from which the football is thrown. Therefore, the correct interpretation is:

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