Scenario: The Leaky Faucet
Instructions:
View the video found on page 1 of this journal...
Mathematics, 09.12.2020 20:00 jess2828
Scenario: The Leaky Faucet
Instructions:
View the video found on page 1 of this journal activity.
Using the information provided in the video, answer the questions below.
Show your work for all calculations.
Calculate the Amount of Water Used for a Shower
1. Government laws require that new showerhead flow rates be no more than 2.5 gallons per minute. If you take one 10-minute shower a day, the following measurement equalities apply:
If you take one 10-minute shower a day, how many gallons of water are used? (1 point)
2. Do you agree with your classmate's conjecture? Given your answer for question 1 and the information below, do you think the amount of water wasted by the leaky faucet over the course of 1 day is closer to the estimate of 1 cup, 1 gallon, or 1 shower? Explain your reasoning. (3 points: 1 point for circling your estimate, 1 point for filling in the blank, and 1 point for explaining your reasoning)
Equivalent Measures
Conversion Ratios
30 drips = 1 minute
15,140 drips = 1 gallon
16 cups = 1 gallon
I think the amount of water wasted is closer to (circle one):
I think the amount of water wasted will be closer to a measure because:
Calculate the Daily Water Waste
3. How much water is wasted by the leaky faucet in 1 day? (6 points: 2 points for each answer, including showing your work for each answer)
Review the Conjecture
4. Answer the following questions about the amount of water used by showers and leaking faucets. (4 points: 2 points for each answer)
A. Time to review the accuracy of your conjecture and that of your classmate. Is your classmate's conjecture true — that the amount of water wasted per day is equivalent to the amount of water used by 1 shower? Is your conjecture about the scale of water waste in 1 day (cup, gallon, or shower) in question 3 true?
B. Based on your calculation in question 1 of how many gallons of water a 10-minute shower uses and your estimate in question 3 of the number of gallons of water wasted in a day by the leaky faucet, how long does it take 1 leaky faucet to waste the water needed for 1 shower? Round to the nearest day and explain your answer.
Take Time to Reflect
5. If you discovered a leaking faucet in your home, do you think it would be important to get it fixed? Why or why not? Explain your reasoning.
(3 points: 1 point for stating whether you would fix the leak, 2 points for explaining your reasoning)
Answers: 1
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