What is the rate of change of the distance in feet below sea level with respect to time that the submarine traveled?

X = 0,18,34,52,70
Y = 460,604,732,876,1020

1 answer

To find the rate of change of the distance in feet below sea level with respect to time, we need to calculate the average rate of change between each pair of data points.

Average Rate of Change between X=0 and X=18:
(604-460)/(18-0) = 144/18 = 8 feet per distance unit

Average Rate of Change between X=18 and X=34:
(732-604)/(34-18) = 128/16 = 8 feet per distance unit

Average Rate of Change between X=34 and X=52:
(876-732)/(52-34) = 144/18 = 8 feet per distance unit

Average Rate of Change between X=52 and X=70:
(1020-876)/(70-52) = 144/18 = 8 feet per distance unit

Therefore, the rate of change of the distance in feet below sea level with respect to time that the submarine traveled is constant at 8 feet per distance unit.