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)
• 1/40gal/mr.
- 1/40gal/mr.
-40 gal./hr.
• 40 gal./hr.
To find the rate of change in the number of gallons in the pool, we need to find the slope of the line connecting the points (1, 160) and (3, 80).
The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
In this case, (x1, y1) = (1, 160) and (x2, y2) = (3, 80). Plugging in the values:
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.