Question

Asked Sep 11, 2019

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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.)

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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