Topic: Water Footprint.
City of New York 2011 rate of 7.64/100 cubic feet of water. Calculate the cost of each of the following based on this rate. Use the conversion factor of 7.48 gallons per cubic food.
A. A standard washing machine uses approximately 50 gallons of water per load. A household washes one load of laundry per week for 52 weeks. Find the total cost per year.
B. According to one study, the average American shower lasts for 8.2 minutes and uses 17.2 gallons. A person showered once a day for a year. Find the cost per year.
A. To calculate the total cost per year for the household's laundry, we need to determine the total number of gallons of water used and then multiply it by the cost per gallon.
First, let's convert the 100 cubic feet rate into gallons:
100 cubic feet = 100 * 7.48 gallons/cubic foot = 748 gallons
Next, we'll calculate the total gallons used for laundry per year:
50 gallons/load * 1 load/week * 52 weeks = 2600 gallons
Now, we can calculate the cost per year for laundry:
Cost = Total gallons used * cost per gallon
Cost = 2600 gallons * (748 gallons/$1) * (cost per gallon)
Please provide the cost per gallon.
B. For the cost per year for showering, we need to determine the total number of gallons used for showering and then multiply it by the cost per gallon.
Based on the given information, the average American shower lasts for 8.2 minutes and uses 17.2 gallons.
First, we need to convert the 100 cubic feet rate into gallons:
100 cubic feet = 100 * 7.48 gallons/cubic foot = 748 gallons
Next, we'll calculate the total gallons used for showering per year:
17.2 gallons/shower * 1 shower/day * 365 days = 6,298 gallons
Now, we can calculate the cost per year for showering:
Cost = Total gallons used * cost per gallon
Cost = 6,298 gallons * (748 gallons/$1) * (cost per gallon)
Please provide the cost per gallon.
To calculate the cost per year for each of the scenarios mentioned, we will use the given water rate of 7.64/100 cubic feet of water for the city of New York in 2011 and the conversion factor of 7.48 gallons per cubic foot.
A. Calculate the total cost per year for a household's laundry:
1. Determine the water used per load in cubic feet:
- 50 gallons ÷ 7.48 gallons/cubic foot = 6.68 cubic feet
2. Calculate the total water used in a year:
- 6.68 cubic feet per load × 52 loads per year = 347.36 cubic feet per year
3. Calculate the cost of water used for laundry:
- 347.36 cubic feet per year × $7.64 per 100 cubic feet = $26.54 per year
Therefore, the total cost per year for the household's laundry would be $26.54.
B. Calculate the cost per year for an individual's daily shower:
1. Determine the water used per shower in cubic feet:
- 17.2 gallons ÷ 7.48 gallons/cubic foot = 2.30 cubic feet
2. Calculate the total water used in a year:
- 2.30 cubic feet per shower × 365 showers per year = 839.50 cubic feet per year
3. Calculate the cost of water used for showers:
- 839.50 cubic feet per year × $7.64 per 100 cubic feet = $64.19 per year
Therefore, the total cost per year for an individual's showers would be $64.19.
Note: The calculated costs are based on the given water rate of 7.64/100 cubic feet of water for the city of New York in 2011. It is important to keep in mind that water rates may vary over time and in different locations.
A. 50gal/Load * 52Loads = 2600 Gal. = 347.6 Ft^3.
Cost = 347.6Ft^3 * 7.64/100 =
B. (17.2/7.48)FT^3/day * 365days = 839.3 Ft^3.
Cost = 839.3Ft^3 * 7.64/100Ft^3 =