The graph shows the number of gallons in a wading pool that is being drained. Using the points (1, 160) and (3, 80) as (x_{1}, y_{1}) and (x_{2}, y_{2}) what is the rate of change in the number of gallons in the pool after each hour has passed?

(1 point)

-40 gal./hr.

1/40 gal./hr.

40 gal./hr.

- 1/40 gal./hr.

1 answer

To find the rate of change, we need to calculate the slope of the line passing through the two given points. The slope is given by m = (y2 - y1) / (x2 - x1).

Using the points (1, 160) and (3, 80), we can substitute these values into the slope formula:

m = (80 - 160) / (3 - 1)
m = -80 / 2
m = -40

Therefore, the rate of change in the number of gallons in the pool after each hour has passed is -40 gal./hr.