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.
negative 40 gal./hr.
140 gal./hr.
Start Fraction 1 over 40 End Fraction gal./hr.
40 gal./hr.
40 gal./hr.
−140 gal./hr.
To find the rate of change, we need to calculate the slope of the line passing through the two given points (1,160) and (3,80).
The slope can be calculated using the formula: (change in y)/(change in x) = (y2 - y1)/(x2 - x1).
Using the given points, we have: (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. (or negative 40 gal./hr.).