Question the-fu

2.1 Nonlinear Functions - Quadratic graphs and vertex form
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h of t equals, negative 16 t squared, plus 110 t, plus 72

The function above models the height h, in feet, of an object above ground t seconds after being launched straight up in the air. What does the number 72 represent in the function?

A.

The initial height, in feet, of the object

B.

The maximum height, in feet, of the object

C.

The initial speed, in feet per second, of the object

D.

The maximum speed, in feet per second, of the object

The function above models the height h , in feet, of an object above ground t

Medium-difficulty · SAT Math · Nonlinear Functions — Quadratic graphs and vertex form. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice A is correct. The variable t represents the seconds after the object is launched. Since h of 0 equals 72, this means that the height, in feet, at 0 seconds, or the initial height, is 72 feet.

Choices B, C, and D are incorrect and may be the result of misinterpreting the function in context.