the graph shows the number of gallons in a wadding pool is being drained. using the points (1,160) and (3,80) as (x(2),y(2)), what is the rate of change in the number of gallons in the pool after each hour has passed?
First, we need to find the rate of change using the given points (1,160) and (3,80).
The formula for calculating the rate of change (slope) between two points is:
rate of change = (y2 - y1) / (x2 - x1)
Plugging in the values we have:
rate of change = (80 - 160) / (3 - 1)
rate of change = (-80) / 2
rate of change = -40
Therefore, the rate of change in the number of gallons in the pool after each hour has passed is -40 gallons per hour. This means that the pool is draining at a rate of 40 gallons per hour.