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Let's solve the two parts of the problem step by step:

### First part:
We need to find out how much water is used in a year with the given flow rate of the shower.

1. **Flow rate** = 2.3 gallons per minute
2. **Average number of showers per week** = 6 showers
3. **Average length of each shower** = 15 minutes
4. **Number of weeks in a year** = 52 weeks

First, calculate the water usage for one shower:
\[
\text{Water per shower} = \text{Flow rate} \times \text{Shower length} = 2.3 \, \text{gallons/min} \times 15 \, \text{min} = 34.5 \, \text{gallons}
\]

Next, calculate the total water usage per week:
\[
\text{Water per week} = 34.5 \, \text{gallons} \times 6 \, \text{showers} = 207 \, \text{gallons/week}
\]

Finally, calculate the water used in a year:
\[
\text{Water per year} = 207 \, \text{gallons/week} \times 52 \, \text{weeks} = 10,764 \, \text{gallons/year}
\]

So, **10,764 gallons per year** is used with the current shower head.

### Second part:
Now, if the person replaces the shower head with a low-flow one (flow rate of 1.5 gallons per minute), we need to find how much water will be **saved** in a year.

1. **New flow rate** = 1.5 gallons per minute

First, calculate the water used per shower with the low-flow shower head:
\[
\text{Water per shower} = 1.5 \, \text{gallons/min} \times 15 \, \text{min} = 22.5 \, \text{gallons}
\]

Next, calculate the total water usage per week with the low-flow shower head:
\[
\text{Water per week} = 22.5 \, \text{gallons} \times 6 \, \text{showers} = 135 \, \text{gallons/week}
\]

Finally, calculate the water used in a year with the low-flow shower head:
\[
\text{Water per year} = 135 \, \text{gallons/week} \times 52 \, \text{weeks} = 7,020 \, \text{gallons/year}
\]

To find how much water is saved:
\[
\text{Water saved} = 10,764 \, \text{gallons/year} - 7,020 \, \text{gallons/year} = 3,744 \, \text{gallons/year}
\]

So, **3,744 gallons per year** will be saved by switching to the low-flow shower head.

### Summary:
1. Water used per year with the original shower head: **10,764 gallons/year**
2. Water saved per year with the low-flow shower head: **3,744 gallons/year**

Do you have any questions or need further details?

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Here are 5 related questions:
1. How would the result change if the person took 7 showers per week instead of 6?
2. What if the shower length increased to 20 minutes? How much water would be saved then?
3. How does the water usage compare between a 2.3 gallon/min flow rate and a 1.8 gallon/min flow rate?
4. How much would water be saved per week instead of per year using the low-flow shower head?
5. What is the percentage reduction in water usage when switching to the low-flow shower head?

**Tip:** Using a low-flow shower head not only saves water but also reduces the energy needed to heat the water, leading to energy cost savings!

A shower has a flow rate of 2.3 gallons per minute. If a person takes an average of 6 showers per week and the average length of a shower is 15 minutes, then how much water is used in a year? If the same person replaces the shower head with a low-flow shower head that has a flow rate of 1.5 gallons per minute, how much water will be saved in a year?

Learn how to calculate the water usage in a year for a shower with a flow rate of 2.3 gallons per minute and find how much water can be saved by switching to a low-flow shower head with a flow rate of 1.5 gallons per minute. This problem involves basic multiplication and unit conversion.

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