A rocket is launched upward from a launching pad and the function h determines the rocket's height above the launching pad (in miles) given a number of minutes t since the rocket was launched.

What does the equality h (4) = 516 convey about the rocket in this context? Select all that apply.

(A) The rocket travels 516 miles every 4 minutes

(B) 14 minutes after the rocket was launched, the rocket is 516 miles above the ground

(C) The rocket is currently 516 miles above the ground

(D) 516 minutes after the rocket was launched, the rocket is 4 miles above the ground

(B) 4 minutes after the rocket was launched, the rocket is 516 miles above the ground

Step-by-step explanation:

The function h (t) represents the height of the rocket above the launchpad after a time t minutes.

h (4) = 516 means that when t = 4 minutes, the height h is 516 miles above the launch pad. Note that the time t is measured from when the rocket is launched.

The first option indicates a rate of change, which is a velocity. This is not indicated in the question because velocity is a time derivative of the the height function.

Option C implies that the rocket is 516 miles currently but we do not know what time currently is from the time of launch.

The fourth option has reversed the roles of the variable by implying the time is 516 minutes while the height is 4 miles which is not what the function means.