Question

A student makes a model rocket using a soda bottle. When launched, the rocket’s height, in feet, is given by the function h(d)=−(d−9)2+81

, where d
represents the distance the rocket is from the launch pad.

What is the height of the rocket when it is 15
feet from the launch pad, represented by h(15)
?

Answer 1

To calculate the height of the model rocket when it is 15 feet from the launch pad, plug the value into the given function h(d), which gives a result of 45 feet.

Step-by-step explanation:

The student asks about the height of a model rocket when it is 15 feet from the launch pad, using the given function h(d) = -(d - 9)^2 + 81. To find h(15), substitute d with 15 in the equation:

h(15) = -(15 - 9)^2 + 81

h(15) = -(6)^2 + 81

h(15) = -36 + 81

h(15) = 45

Therefore, the height of the rocket at 15 feet from the launch pad is 45 feet.