Question

An electric company charges an initial monthly fee for service and a fixed rate per kilowatt-hours (kWh) used. This table shows the monthly charge for different kilowatt-hours used.
What is the initial monthly fee charged by the electric company?

Answer 1

Here we are required to determine the initial monthly fee charged by the electric company.

The initial fee charged by the electric company is; C = $10

To solve this, we need to evaluate the slope and intercepts of the equation of the straight line graph of the relation.

y = mx + c.

• where m = slope of the relation.

• and c = intercept = the initial fee charged by the electric company.

• y = Monthly charge at each time.

• x = Usage

To find the slope;

• m = (y2 - y1)/(X2 - x1)

• m = (28 -22)/(150 - 100)

• m = 6/50

• m = 0.12.

By substituting m into the equation y = mx + c, alongside a pair of values of usage and monthly charge, we can obtain the intercept, c (i.e the initial fee charged).

Therefore, m = 0.12 , y = 82 and X = 600;

we then have;

• 82 = 0.12(600) + c.

• C = 82 -72

• C = $10.

Therefore, the initial fee charged by the electric company is; C = $10.

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