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A pool cleaning service drained a full pool. The following table shows the number of hours
it drained and the amount of water
remaining in the pool at that time.
Part A
Pool Draining
Time (hours)
Water Remaining
(gallons)
3
5
7
9
11
13,200
12,000 10,800
9,600
8,400
Plot the points that show the relationship
between the numbers of hours elapsed and
the number of gallons of water left in the
pool.
Select a place on the grid to plot each
point.
Water Remaining (gallons)
16000
15000
1400
13600
12800
12000
11200
10400
9600
8000
8000
7200
0 1 2 3
6 7 8 9 10 11 12 13 14
Time (hours)
Part B
The data suggests a linear relationship
between the number of hours the pool has been draining and the number of gallons of
water remaining in the pool. Assuming the relationship is linear, what does the rate of
change represent in the context of this relationship?
Part C
A. The number of gallons of water in the pool after 1 hour.
B. The number of hours it took to drain 1 gallon of water.
C. The number of gallons drained each hour
D. The number of gallons of water in the pool when it is full.
What does the y-intercept of the linear function represent in the context of this
relationship?
Part D
A. The number of gallons of water in the pool after 1 hour.
B. The number of hours it took to drain 1 gallon of water.
C. The number of gallons drained each hour
D. The number of gallons of water in the pool when it is full.
Which equation describes the relationship between the time elapsed and the number of
gallons of water remaining in the pool?
A. y-600x + 15,000
B. y-600x + 13,200
C. y=-1,200x + 13,200
D. y=-1,200x + 15,000