# An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 6.39 cents per kilowatt-hour to its base charge of \$18.34 per month. Write an equation for the monthly charge y in terms of x, the number of kilowatt-hours used. (Let y be measured in dollars.)

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An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 6.39 cents per kilowatt-hour to its base charge of \$18.34 per month. Write an equation for the monthly charge y in terms of x, the number of kilowatt-hours used. (Let y be measured in dollars.)

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Step 1

Given that

Energy charges for 1 kilo watt - hour = 6.39 cents = \$ 6.39 * 1/(100)  = \$ 0.0639 [ since 1 cent = 1/100 dollars]

Base charges for 1 month = \$ 18.34

Step 2

Energy charges for x kwh = x *  Energy charges for 1 kilo watt hour = \$ 0.0639x

So total monthly charges (y ) = base charge for 1 month + Energy charges for x kwh

=>  y = 18.34 + 0.0639x ( in dollars)

Step 3

Hence required equation is y = 18.34 + 0.0639x where y is mo...

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