Respuesta :
1) If you take one 10-minute shower, we can calculate the maximum allowable amount of water used as:
[tex]\begin{gathered} W=2.5\text{ gal/min}\cdot10\text{ min}=25\text{ gal} \\ \end{gathered}[/tex]2) We have to estimate the water wasted by the leaky faucet in a day.
We know that:
30 drips= 1 min
15,140 drips= 1 gal
16 cups = 1 gal
I think the amount of water wasted will be closer to a gallon measure because:
We can estimate 60 * 30 = 1800 drips per hour. That a little more than 1/10 of a gallon per hour. As the day has 24 hours, we are wasting more than 2.4 gallons per day.
3) Each day have 60 * 24 = 1440 minutes. Then, each day leaks 1440*30 = 43,220 drips.
If 15,140 drips are equivalent to 1 gal, we can estimate that almost 3 gallons per day are wasted.
To calculate it exactly we have to do:
[tex]1440\text{ minutes}\cdot30\text{ drips/min}\cdot\frac{1\text{ gal}}{15140\text{ drips}}=2.85\text{ gal}[/tex]4a) No, the conjecture of the classmate is not right, as the water wasted in one day is about 1/8 of the water used in one shower (2.85 / 25 = 0.114).
We are closer to the real value in our conjecture of one gallon, as the water wasted is 2.85 times our conjecture of 1 gallon.
4b) If we use up to 25 gallons per shower, as calculated before, and the faucet leaks approximately 3 gallons per day, it will take 8 days to waste the water used in one shower.
5) It is important to be fixed, as we are wasting 11% of the water we usually use in a 10 minute shower.
[tex]\frac{Waste\text{ water}}{Useful\text{ water}}=2.85\text{ gal / 25 gal = }0.114=11.4\text{ \%}[/tex]In a year, it would mean the equivalent to 365 * 0.114 = 41 showers.
