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)
Responses
-40 gal/hr
40 gal
1/40 gal/hr
-1/40 gal/hr
r.
To find the rate of change in the number of gallons in the pool after each hour has passed, we need to find the slope of the line that passes through the points (1, 160) and (3, 80).
The slope formula is given by:
m = (y2 - y1)/(x2 - x1)
Using the given points:
x1 = 1, y1 = 160
x2 = 3, y2 = 80
m = (80 - 160)/(3 - 1) = (-80)/2 = -40
Therefore, the rate of change in the number of gallons in the pool after each hour has passed is -40 gal/hr.