Problema Solution

A certain city charges $3.61 per 1000 gallons of water used up to 5000 gallons per month and $4.17 per 1000 gallons of water used for more than 5000 gallons per month. Find a piecewise-defined function that specifies the total bill for water usage of x gallons of water. Modify the defined function to calculate the GWA billing for a family in Guam with the following information: $2.91 per 1000 gallons up to 5000 gallons and $9.97 per 1000 gallons for amount of water used more than 5000 gallons.

Answer provided by our tutors

The piecewise-defined function C that specifies the total bill for water usage of x gallons of water:

C(x)= (3.61/1000)x if x is less than equal to 5000 gallons

C(x)= (4.17/1000)x if x is greater than 5000 gallons

The GWA billing for a family in Guam is:

C(x)= (2.91/1000)x if x is less than equal to 5000 gallons

C(x)= (9.97/1000)x if x is greater than 5000 gallons