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 21 minutes requires 12.6 gallons of water. Find the amount of water used for a shower lasting 10 minutes.
Cross multiply and solve for x.
21/12.6 = 10/x
To solve this problem, we can set up a proportion based on the given information.
Let's say "x" represents the amount of water used for a shower lasting 10 minutes.
We know that a shower lasting 21 minutes requires 12.6 gallons of water. This gives us the following proportion:
21 minutes / 12.6 gallons = 10 minutes / x gallons
To find "x," we can use cross multiplication:
21 minutes * x gallons = 10 minutes * 12.6 gallons
Simplifying both sides of the equation:
21x = 126
Next, we can divide both sides by 21 to find the value of "x":
x = 126 / 21
Simplifying further:
x = 6
Therefore, a shower lasting 10 minutes requires 6 gallons of water.
To solve this problem, we can use the concept of direct proportionality. We know that the amount of water used is directly proportional to the time the shower is in use.
First, let's find the constant of proportionality. We can do this by using the given values of a 21-minute shower using 12.6 gallons of water.
The proportion can be expressed as:
(time_1) / (time_2) = (water_1) / (water_2)
Plugging in the given values:
21 / 10 = 12.6 / x
Now, we can cross-multiply and solve for x:
21x = 10 * 12.6
21x = 126
Dividing both sides by 21:
x = 6
Therefore, a shower lasting 10 minutes will require 6 gallons of water.