Which equation represents the height, h(t), of the elevator in feet, as a function of t, the number of seconds during which it has been descending?

h(t) = 5t + 500
h(t) = 5t – 500
h(t) = –5t + 500
h(t) = –5t – 500

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Answer:

''We are given that the elevator is descending, so the coefficient of t must be negative. The elevator's initial position is 500 feet above the ground, so this is a positive value of +500. Therefore the only choice that fits is h(t) = -5t + 500.''- Blitztiger

Step-by-step explanation:

A function of t, the number of seconds during which it has been descending is h(t) = -5t + 500

What is a function?

"Function, in mathematics, n expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)."

When t = 0, the initial height of the elevator is 600.

{rule out h(t) = 5t - 600 and h(t) = -5t -500

At t increases, the height of the elevator starts to decrease

{rule out h(t) = 5t+500}

A function of t, the number of seconds during which it has been descending is h(t) = -5t + 500

Hence, a function of t, the number of seconds during which it has been descending is h(t) = -5t + 500.

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