(8) We pour water into a pool. Suppose that w = The amount of water in the pool (in gallons) at time t(in minutes) Given the following table of values for t and w: t 0 5 10 15 20 w 100 125 130 140 155 find the average rate at which water was poured into the pool from 0 minutes to 10 minutes. Include units in your answer. Show how you get your answer.
The average rate is just the slope of the function between t = 0 and t = 10, so we must calculate change in w / change in t. w(10) = 130. w(0) = 100. So, the slope = (130-100)/(10-0) = 30/10 = 3 gallons per minute.
