Question

The elevator of a building is currently 10 feet above ground level on the first floor. The building's elevator rises at a rate of 5 feet per second. You enter the elevator on the first floor. Let t, represent the number of seconds you are in the elevator and h(t) represent the height of the elevator (in feet). Write an equation for h(t) b. What will your height be in 12 seconds? c. What does h(5) = 35 represent?

Answer 1

`h(t) = 10 + 5t`

70 feet

Your height in 5 seconds is 35 feet

Explanation:

From the question, we understand that:

`Initial\ Height = 10`

`Rate = 5` per second

Solving (a): Equation for h(t)

This implies that the height at t seconds and is calculated as thus:

`h(t) = Initial\ Height + Rate * t`

Where t represents seconds

Substitute values for Initial Height and Rate

`h(t) = 10 + 5* t`

`h(t) = 10 + 5t`

Solving (b): Height in 12 seconds

This implies that:

`t = 12`

Substitute 12 for t in
`h(t) = 10 + 5t`

`h(12) = 10 + 5 * 12`

`h(12) = 10 + 60`

`h(12) = 70`

Hence, your height will be 70 feet

Solving (c): h(5) = 35 means?

Using the illustration in (b) above;

This means that your height in 5 seconds is 35 feet