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 determine the change in water level over the given time period.
From the given table:
- At 0 minutes, the water level is 0 gallons.
- At 8 minutes, the water level is 12 gallons.
To find the change in water level, we subtract the initial water level from the final water level:
12 gallons - 0 gallons = 12 gallons
To find the time duration, subtract the initial time from the final time:
8 minutes - 0 minutes = 8 minutes
Now we can calculate the average rate:
Average rate = Change in water level / Time duration
Average rate = 12 gallons / 8 minutes
Simplifying this fraction:
Average rate = 1.5 gallons/minute
Therefore, the average rate at which the bathtub filled with water is 1.5 gallons per minute.
The answer is C. 1.5 gallons per minute.