Question

Suppose an elevator starts at the top floor of a high-rise building at a height of 450 feet above the ground floor and descends without stopping at a constant rate of 15 feet per second. Write a function that describes the height, h, of the elevator after t seconds.

Answer 1

The height of the elevator after t seconds can be described using the function h(t) = 450 - 15t.

Step-by-step explanation:

To write a function that describes the height, h, of the elevator after t seconds, we can use the equation: h = h0 - rt, where h0 is the initial height of the elevator and r is the rate of descent, which is 15 feet per second in this case.

So, the function that describes the height of the elevator after t seconds is: h(t) = 450 - 15t.

For example, if we want to find the height of the elevator after 5 seconds, we can substitute t = 5 into the function: h(5) = 450 - 15(5) = 375 feet.