for a monthly customer charge of $5.69 plus 8.48 cents per kilowatt-hour for up to 1000 kilowatt-hours. (a) Write a linear equation that relates the monthly charge C, in dollars, to the number x of kilowatt-hours used in a month, 0 ≤ x ≤ 1000.
C = 5.69 + .0848x
To write a linear equation that relates the monthly charge (C) to the number of kilowatt-hours (x) used in a month, we need to consider two components: the fixed monthly customer charge and the variable charge per kilowatt-hour.
Let's break down the given information:
Fixed monthly customer charge: $5.69
Variable charge per kilowatt-hour: 8.48 cents = 0.0848 dollars
For up to 1000 kilowatt-hours, the monthly charge (C) can be represented as:
C = 5.69 + 0.0848x
This equation accounts for both the fixed component and the variable component based on the number of kilowatt-hours used.