Use units do help you answer the question. If necessary, round your answer to two decimal places.

Question

Suppose water flows from a shower at a rate of 0.32 cubic feet per minute. Do you use more water bf taking a 12-minute shower or by filling a bathtub with 0.4 cubic yards of water and by how much?

Answer 1

To compare the amount of water used in a 12-minute shower to filling a bathtub with 0.4 cubic yards of water, we need to convert the units to be consistent.

1 cubic yard = 27 cubic feet
0.4 cubic yards = 0.4 * 27 cubic feet = 10.8 cubic feet

Now, let's calculate the amount of water used in a 12-minute shower:
Water flow rate = 0.32 cubic feet per minute
Water used in a 12-minute shower = 0.32 cubic feet/minute * 12 minutes = 3.84 cubic feet

Comparing this to filling the bathtub, 3.84 cubic feet of water used in a 12-minute shower is less than 10.8 cubic feet of water used to fill the bathtub. Therefore, you use more water by filling the bathtub. The difference in water usage is 10.8 cubic feet - 3.84 cubic feet = 6.96 cubic feet.