SOLUTION: The amount of water used to take a shower is directly proportional to the amount of time that the shower is in use. A shower lasting 23 minutes requires 4.6 gallons of water. Find

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Question 133757: The amount of water used to take a shower is directly proportional to the amount of time that the shower is in use. A shower lasting 23 minutes requires 4.6 gallons of water. Find the amount of water used in a shower lasting 4 minutes.


Found 2 solutions by SoOoDumb, Earlsdon:
Answer by SoOoDumb(14) About Me  (Show Source):
You can put this solution on YOUR website!
4.6%2F23++=++x%2F4
X = number of gallons in 4 minutes
Cross multiply
4.6%2A4++=++23%2Ax
18.4++=++23x
Divide both sides by 23
18.4%2F23++=++x
In 4 minutes, you would use 18.4%2F23 gallons of water.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
First, from the problem description, you can write:
W+=+kt where W is the amount of water used in time, t. k is the constant of variation. Now substitute the given values of W (4.6 gallons) and t (23 minutes) to find the value of k.
4.6+=+k%2823%29 Divide both sides by 23.
k+=+4.6%2F23
k+=+0.2 so now the equation for this problem is:
W+=+0.2t Substitute t = 4 minutes to find the amount of water, W.
W+=+0.2%284%29
W+=+0.8 gallons.