Question

the electric company charges dalton a monthly service fee of $30 plus $0.15 per kilowatt - hour of electricity used. this month, daltons bill is $105. how many kilowatt - hours of electricity did dalton use? kilowatt - hours

Explanation:

Step1: Subtract the monthly service fee

Let \(x\) be the number of kilowatt - hours. The total bill is \(30 + 0.15x=105\). First, subtract the service fee: \(105 - 30=75\).

Step2: Solve for \(x\)

Since \(0.15x = 75\), then \(x=\frac{75}{0.15}\).

$$x=\frac{75}{\frac{15}{100}}=75\times\frac{100}{15}=500$$

Answer:

\(500\)