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Slope in Real-World Problems Quick Check
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A coordinate plane shows the x-axis, labeled as hours, ranging from 0 to 6 in increments of 1 and the y-axis, labeled as gallons, ranging from 0 to 240 in increments of 20. A line segment joins four plotted points. The coordinates of the plotted points are left parenthesis 0 comma 200 right parenthesis, left parenthesis 1 comma 160 right parenthesis, left parenthesis 3 comma 80 right parenthesis, and left parenthesis 5 comma 0 right parenthesis.

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)

Answers

Answered by GPT 3.5
To find the rate of change, we need to find the slope of the line passing through the points (1,160) and (3,80).

The slope of a line is calculated using the formula:

slope = (y2 - y1) / (x2 - x1)

Using the given points, we have:

x1 = 1
y1 = 160
x2 = 3
y2 = 80

slope = (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 gallons per hour.
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