The table shows how the amount of water in a bathtub changed while the faucet was on.
Water in Bathtub
Time
(minutes)
Amount of Water
(gallons)
0 0
2 3
4 6
6 9
8 12
At what average rate did the bathtub fill with water?
A.
0.6 gallon per minute
B.
0.67 gallon per minute
C.
1.5 gallons per minute
D.
3 gallons per minute
To find the average rate at which the bathtub filled with water, we need to divide the change in the amount of water by the change in time.
Change in amount of water = final amount of water - initial amount of water = 12 gallons - 0 gallons = 12 gallons
Change in time = final time - initial time = 8 minutes - 0 minutes = 8 minutes
Average rate = Change in amount of water / Change in time
Average rate = 12 gallons / 8 minutes
Simplifying the expression, we have:
Average rate = 1.5 gallons per minute
Therefore, the average rate at which the bathtub filled with water is 1.5 gallons per minute.
The correct answer is C. 1.5 gallons per minute.