Question

Robert has $50 to spend on his utility bills each month. The basic monthly charge is 23.77 electricity costs 0.1117 for each kilowatt hour used, x. The inequality 0.1116x + 23.77 < 50 represents Roberts monthly utility budget. To the nearest kilowatt hour what is the maximum number of kilowatt hours used without going over his monthly budget?

Answer 1

The maximum number of kilowatt-hours is 235

Explanation:

Inequalities

Robert's monthly utility budget is represented by the inequality:

0.1116x + 23.77 < 50

Where x is the number of kilowatts of electricity used.

We are required to find the maximum number of kilowatts-hours used without going over the monthly budget. Solve the above inequality:

0.1116x + 23.77 < 50

Subtracting 23.77:

0.1116x < 50 - 23.77

0.1116x < 26.23

Dividing by 0.1116:

x < 26.23/0.1116

x < 235

The maximum number of kilowatt-hours is 235