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 in both general and factored form general form: h(t)= factored form: h(t)​

Answer 1

The function that describes the height of the elevator after t seconds is h(t) = 450 - 15t, which is both the general and the factored form as there are no common factors other than 1.

Step-by-step explanation:

To find a function that describes the height h of the elevator after t seconds, we have to take into account the initial height and the rate at which the elevator is descending. Since the elevator starts at 450 feet above the ground and descends at a constant rate of 15 feet per second, we can write the function in the general form as:

General form:

h(t) = 450 - 15t

For the factored form, we look for factors common to the terms of the general form. Since there are no factors common to 450 and 15t other than 1, the factored form is the same as the general form:

Factored form:

h(t) = 450 - 15t