Question

A utility company charges $0.12 per kilowatt-hour for energy a customer uses. They give a credit of $0.025 for every kilowatt-hour of electricity a customer with a solar panel generates that they don't use themselves.A customer has a charge of $82.04 and a credit of $4.10 on this month's bill. 1. What is the amount due this month? 2. How many kilowatt-hours did they use? 3. How many kilowatt-hours did they generate that they didn't use themselves?

Answer 1

1) $77.94 is the amount due

2) They used 684 kilowatt-hours

3) They generated 164 kilowatt-hours of electricity that they did not use

a) We want to calculate the amount due this month

Mathematically, we can calculate that by subtracting the credit from the charge

We have this as;

`82.04-4.10\text{ = \$77.94}`

b) Here, we want to calculate the amount of kilowatt-hours used

Mathematically, we have this by dividing the charge at the end of the month divided by the charge per kilowatt-hour

We have this as;

`\begin{gathered} (82.04)/(0.12)\text{ = 683.67 } \\ \text{This is approx. 684 kilowatt-hours} \end{gathered}`

c) Here, we want to calculate the generated but unused kilowatt-hours

To get this, what we have to do is to divide the amount of credit given by the credit per kilowatt hour

We have this as;

`(4.10)/(0.025)\text{ =164 kilowatt-hours}`