Question

The graph shows the number of gallons in a wading pool that is being drained. Using the points (1,160) and (3,80) as (x1,y1) and (x2,y2) , what is the rate of change in the number of gallons in the pool after each hour has passed? (1 point)

Answer 1

The rate of change is given by the formula:

rate of change = (change in y) / (change in x)

In this case, the change in y is y2 - y1 = 80 - 160 = -80, and the change in x is x2 - x1 = 3 - 1 = 2.

So the rate of change of the number of gallons in the pool after each hour has passed is:

rate of change = (-80) / 2 = -40 gallons per hour.