The graph shows the number of gallons in a
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 passed?
The amount of gallon it goes up to in the graph is 240 and the hours goes up to 6.
To find the rate of change in the number of gallons in the pool after each hour passed, we need to calculate the slope of the line passing through the points (1, 160) and (3, 80).
Slope (m) = (y2 - y1) / (x2 - x1)
= (80 - 160) / (3 - 1)
= -80 / 2
= -40
Therefore, the rate of change in the number of gallons in the pool after each hour passed is -40 gallons per hour. This means that the pool is losing 40 gallons of water every hour.