An elevator steadily descends 500 feet in 20 seconds. How would you express the change in the​ elevator's height per​ second? The change in the​ elevator's height per second is____ nothing feet per second.

Answer:The elevators descends at the rate of 25 feet per second or we can write the change in height of elevator is -25 feet per second, since the elevator is moving in opposite direction.   Step-by-step explanation:We are given the following information in the question:The elevator descends 500 feet in 20 seconds.Now, we know that at 0 second the lift was at 0 feet.To calculate the change in the height of elevator per second, we use the following formula:[tex]\text{Change in height per second} = \displaystyle\frac{y_2-y_1}{x_2-x_1}\\\\= \displaystyle\frac{500-0}{20-0} = \frac{500}{20} = 25\text{ feet per second}[/tex]Hence, the elevators descends at the rate of 25 feet per second or we can write the change in height of elevator is -25 feet per second, since the elevator is moving in opposite direction.