What is the cost of the water used in taking a shower regularly (a 10-minute sho

Question

What is the cost of the water used in taking a shower regularly (a 10-minute shower uses 21 gallons of water with an average flow rate of 2.1 gallons per minute)? Calculate the cost per shower, and the cost per year using the dripping faucet (the number of gallons of water lost in one year from a drip is 68.4).

Note: The sewer rate is set at 159% of the water charges. As of July 1, 2016, water costs $3.81 per 100 cubic feet (748 gallons) and the combined cost of water and sewer is $9.87 per 100 cubic feet. The minimum water and sewer charge per metered household remains at $1.27 per day.

Explanation / Answer

The cost of shower vary with his usage.

Minimum cost if the shower is not used at all = max($1.27*365 , 68.4*$9.87/748) = max($463.55, $0.9) = $463.55

Maximum cost when shower is used 24x7 =365* 2.1*60*24*$9.87/748 = $14564.31

If shower is used daily for 10 min = 365*21*$9.87/748 + 68.4*$9.87/748 = $101.14 + $0.9 = $102.04

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