Question an-egg

2.1 Nonlinear Functions - Function composition and evaluation
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An egg is thrown from a rooftop. The equation h=-4.9t2+9t+18 represents this situation, where h is the height of the egg above the ground, in meters, t seconds after it is thrown. According to the equation, what is the height, in meters, from which the egg was thrown?

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An egg is thrown from a rooftop. The equation h = - 4.9 t 2 +

Hard-difficulty · SAT Math · Nonlinear Functions — Function composition and evaluation. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

The correct answer is 18 . It's given that an egg is thrown from a rooftop and that the equation h=-4.9t2+9t+18 represents this situation, where h is the height of the egg above the ground, in meters, t seconds after it is thrown. If follows that the height, in meters, from which the egg was thrown is the value of h when t = 0 . Substituting 0 for t in the equation h=-4.9t2+9t+18 yields h0=-4.902+90+18, or h = 18 . Therefore, according to the equation, the height, in meters, from which the egg was thrown is 18 .