The function h(t)=16t^2+28+500 represents the height of a rock t seconds after it is propelled by a slingshot. what does h(3.2) represent ?

t is the amount of time in seconds that the rocket is in the air.

in h(3.2), they want you to replace h with 3.2, so you would find the height of the rocket 3.2 seconds after it was propelled.

it's

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50