Problema Solution

An electronic utility company charges residential customers 12.5 cents per kilowatt hour plus a base charge each month. One customer's monthly bill comes to $51.65 for 360 kilowatt hours. Find a linear function that describes the total monthly charges for electricity, C, if x is the number of kilowatt hours used in a month.

Answer provided by our tutors

The function is C, x is the number of kilowatt hours used in a month.

We assume C = 0.125x + b

When x = 360, C = 0.125*360 + b = 51.65

SO

b = 6.65

So

C = 0.125x + 6.65,  x is the number of kilowatt hours used in a month.