MTH105 Fall 23 Project6 Water Population
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School
Eastern Gateway Community College *
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Course
105
Subject
Mathematics
Date
Feb 20, 2024
Type
docx
Pages
3
Uploaded by BrigadierBookOwl39
Project 6
Name: Cherokee W
In a quantitative reasoning course, the design of the course is to regularly provide you with new problems and ask you to figure them out. In that process, you should think critically, do calculations correctly, and communicate your findings effectively. For the problems below, explain your thinking clearly and use mathematics to help you answer each question.
PROBLEM 1
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Instead of leaving the water running, suppose someone decided to turn off the water while they brushed their teeth. Would that savings be enough water for the average person to drink in a year? Make a quick prediction! This question is to get
you thinking – no serious calculations, yet. I believe the water savings from brushing teeth would be around 30 times greater than the water
needed for drinking in a year.
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The average flow rate for a faucet is between 1.0 and 1.5 gallons per minute. In a day, how many gallons of water could someone save by turning off the water while
brushing their teeth? Explain your thinking for how you determined this amount
. To determine the water savings, we subtract the water usage with the faucet turned off from the water usage with the faucet running.
Water savings = Water usage with faucet running - Water usage with faucet off
Using the flow rate of 1.0 gallons per minute:
Water savings = 2 gallons - 0 gallons = 2 gallons
Using the flow rate of 1.5 gallons per minute:
Water savings = 3 gallons - 0 gallons = 3 gallons
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Using your answer from part b), how many gallons could someone save in a year?
Yearly water savings = 2 gallons/day * 365 days/year
Yearly water savings = 730 gallons/year
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In a day, how much water does the average person drink? Let’s hear your best estimate in terms of gallons. Explain your thinking.
The average person's daily water consumption can vary depending on factors such as age, gender, activity level, climate, and overall health. However, a commonly recommended guideline is to drink about 8 cups or 64 fluid ounces of water per day.
Divide 64 fluid ounces by 128 (since there are 128 fluid ounces in a gallon).
64 fluid ounces / 128 = 0.5 gallons
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Using your answer from part d), how many gallons does the average person drink in a year? Show your calculations.
Based on the previous response, the average person drinks approximately 0.5 gallons of water per day. Yearly water consumption = Daily water consumption * Number of days in a year
Yearly water consumption = 0.5 gallons/day * 365 days/year Yearly water consumption = 182.5 gallons/year
Therefore, the average person drinks approximately 182.5 gallons of water in a year.
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Now, looking back at your work, would turning off the water while brushing your teeth save enough water for you to drink in a year? Was your prediction correct?
Based on my calculations, the average person drinks approximately 182.5 gallons of water in a year. Turning off the water while brushing teeth could save approximately 730 gallons of water in a year.
Since the water savings from turning off the water while brushing teeth is significantly greater than the amount of water consumed for drinking, it can be concluded that turning
off the water while brushing teeth would save enough water for an individual to drink in a
year.
My prediction was correct. PROBLEM 2
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Chicago has a population of about 2,700,000 residents. The American Dental Association recommends brushing your teeth for 2 minutes each day, twice per day. If every resident followed this recommendation, how many gallons of water could the city save in just one day? Be sure to explain your thinking and show your calculations. From previous calculations, we found that by turning off the water while brushing teeth, an individual could save approximately 2 gallons of water per day.
So, the total water savings per person per day in Chicago would be 2 gallons.
Total water savings = Water savings per person per day * Number of residents
Total water savings = 2 gallons/person/day * 2,700,000 residents
Total water savings = 5,400,000 gallons/day
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How much water could the city save in a year? From the previous response, we found that the total water savings per day in Chicago would be 5,400,000 gallons.
Total water savings = Water savings per day * Number of days in a year
Total water savings = 5,400,000 gallons/day * 365 days/year
Total water savings = 1,971,000,000 gallons/year
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Try putting this amount of water into perspective and find something that holds close to that amount of water. (Hint: Probably not your backyard pool. Find something that CAN hold that much water.) One example of something that can hold a similar amount of water is an Olympic-sized swimming pool. An Olympic-sized swimming pool has a capacity of approximately 660,000 gallons of water.To visualize the water savings of Chicago in a year, we can compare it to the equivalent of filling approximately 2,988 Olympic-sized swimming pools.
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