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 answer

To find the rate of change, we can use the formula:

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

Given points (1,160) and (3,80), we can calculate the change in y and change in x as follows:

Change in y = 80 - 160 = -80
Change in x = 3 - 1 = 2

Now, we can plug these values into the formula:

rate of change = -80 / 2 = -40

Therefore, the rate of change in the number of gallons in the pool after each hour has passed is -40 gallons per hour. This means that the pool is draining at a rate of 40 gallons per hour.