The table shows how an elevator 500 feet above the ground is descending at a steady rate.
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

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 these is h(t) = -5t + 500.

(Attached Image: https://media.education2020.com/evresources/3109/3109-03/3109-03-06/3109-03-06-assessment/3109-03-06...) The correct answer is: h(t) = -5t + 500; from the table it is visible that the time difference is 5 seconds; the sign before 500 must be be "+", for we're talking about 500 feet above the ground.

It is going to be the third choice