Question

9. The function h(t) = 150 - 4t represents the height of a person repelling down

a building for the first time where t is measured in minutes and h is measured in
feet above the ground. How high would the person be one half hour after
beginning his descent?

Answer 1

30 ft

Explanation:

Half an hour is equivalent to 30 minutes.

Thus, h(t) = 150 - 4t becomes h(30 min) = 150 ft - 4(ft/min)(30 min) = 30 ft

Answer 2

30 feet

Explanation:

Hello!

Half an hour is 30 minutes, so that means we are asked to find h(30).

Solve for h(30):

• h(30) = 150 - 4(30)
  `\implies` Substitute 30 for t
• h(30) = 150 - 120
  `\implies` Simplify
• h(30) = 30

The person would be 30 feet above the ground in half an hour.