Question Bank / Math / Nonlinear Functions

Nonlinear functions SAT question

Math · Advanced Math · Medium · Answer it here, explanation included.

An object is kicked from a platform. The equation $h = - 4.9 t^{2} + 7 t + 9$ represents this situation, where $h$ is the height of the object above the ground, in meters, $t$ seconds after it is kicked. Which number represents the height, in meters, from which the object was kicked?

ExplanationShow

Choice D is correct. It’s given that the equation $h = - 4.9 t^{2} + 7 t + 9$ represents this situation, where $h$ is the height, in meters, of the object $t$ seconds after it is kicked. It follows that the height, in meters, from which the object was kicked is the value of $h$ when $t = 0$ . Substituting $0$ for $t$ in the equation $h = - 4.9 t^{2} + 7 t + 9$ yields $h = - 4.9 (0)^{2} + 7 (0) + 9$ , or $h = 9$ . Therefore, the object was kicked from a height of $9$ meters.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Drill this skill on Aceit

Adaptive practice, a daily plan, and score tracking take a free account so we can save your work.

Practice this skill

Nonlinear functions SAT question

More Nonlinear functions questions