SOLUTION: Nathan's monthly electric bill includes a fixed service charge and an additional charge for the number of kilowatt-hours (kwh) of electricity used. One bill, including a charge for
Algebra.Com
Question 392083: Nathan's monthly electric bill includes a fixed service charge and an additional charge for the number of kilowatt-hours (kwh) of electricity used. One bill, including a charge for 595 kwh of electricity, is $61.72. Another bill, including a charge for 650 kwh, is $67.11. Find the fixed cahrge and the cost per kilowatt-hour.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Nathan's monthly electric bill includes a fixed service charge and an additional
charge for the number of kilowatt-hours (kwh) of electricity used.
One bill, including a charge for 595 kwh of electricity, is $61.72.
Another bill, including a charge for 650 kwh, is $67.11.
Find the fixed charge and the cost per kilowatt-hour.
:
Let x = the fixed charge
Let y = the cost/kwh
:
An equation for each month
x + 650y = 67.11
x + 595y = 61.72
--------------------subtracting eliminate x find y
55y = 5.39
y =
y = $.098 per kwh
:
Find the fixed cost (x)
x + 650(.098) = 67.11
x + 63.70 = 67.11
x = 67.11 - 63.70
x = $3.41
:
Check this solution in the 2nd equation
3.41 + 595(.098) =
3.41 + 58.31 = 61.72
:
RELATED QUESTIONS
hope someone can help me with this one
1.Radisson Electric Company’s monthly bill... (answered by stanbon)
In a certain city, the monthly cost of residential electric service is given by the... (answered by josgarithmetic)
Could someone help me with these 2 problems?
1. Acme Electric Company’s monthly bill... (answered by solver91311)
Ben's monthly phone bill includes a fixed charge, which is the same each month, and an... (answered by ikleyn)
Sheridan's monthly phone bill includes a fixed charge, which is the same each month, and... (answered by stanbon)
An electric utility company determines the monthly bill for a residential customer by... (answered by ikleyn,greenestamps)
an electric utility company charges residential customers 11,5 cents per kilo-watt hour... (answered by josmiceli)
Solve the problem.
An electric company has the following rate schedule for... (answered by MathLover1,Solver92311)
[ Wisconsin public service applies the following charges for customers who use... (answered by TimothyLamb)