SOLUTION: n April 2009,Peoples Energy had the following rate schedule for natural gas usage in single family residences:
Monthly service charge = $15.95.
Per therm service charge 1st
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Question 1208106: n April 2009,Peoples Energy had the following rate schedule for natural gas usage in single family residences:
Monthly service charge = $15.95.
Per therm service charge 1st 50 therms = $0.33606/therm.
Over 50 therms = $0.10580/therm.
Gas charge = $0.3940/therm.
(a) What is the charge for using 50 therms in a month?
(b) What is the charge for using 500 therms in a month?
(c) Develop a model that relates the monthly charge C for x therms of gas.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The model is
C=15.95+0.3940x+0.33606x for x<=50 this is C=15.95+0.73006x for x <=50; at x=50 charge is $52.45
C=52.45 (charge for 50)+(x-50)*0.10580+(x-50)*(0.3940)
C=52.45+(x-50)(0.4998) for x>50. So x=500 is 52.45+224.91=$277.36
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