To find the rate of change in the number of gallons in the pool, we need to calculate the slope of the line connecting the two points.
The formula for slope is: slope = (change in y) / (change in x)
In this case, the change in y is 80 - 160 = -80 (since the y-values are decreasing)
The change in x is 3 - 1 = 2 (since the x-values are increasing)
Plugging these values into the slope formula, we get:
slope = (-80) / 2 = -40
So the rate of change in the number of gallons in the pool after each hour is -40 gal/hr.
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.
−1/40 gal./hr.
negative Start Fraction 1 over 40 End Fraction gal./hr.
1/40 gal./hr.
Start Fraction 1 over 40 End Fraction gal./hr.
40 gal./hr.
1 answer