Isaiah is trying to decide if the interval use plan is better than the standard use plan for his electricity consumption. Calculate the monthly costs of both plans if he uses 1,275 kWh of electricity per month with 575 kWh on-peak usage and the rest off-peak usage. Standard Use Plan Interval Use Plan 7.5 cents/kWh for the first 400 kWh 10 cents/kWh for anything over 400 kWh On-peak hours - 15 cents/kWh Off-peak hours - 3 cents/kWh a. standard use plan - $117.50; interval use plan - $107.25 b. standard use plan - $87.50; interval use plan - $86.25 c. standard use plan - $117.50; interval use plan - $86.25 d. standard use plan - $87.50; interval use plan - $107.25

Question

Mathematics

Makena Gonzalez

9 August, 07:12

Isaiah is trying to decide if the interval use plan is better than the standard use plan for his electricity consumption. Calculate the monthly costs of both plans if he uses 1,275 kWh of electricity per month with 575 kWh on-peak usage and the rest off-peak usage. Standard Use Plan Interval Use Plan 7.5 cents/kWh for the first 400 kWh 10 cents/kWh for anything over 400 kWh On-peak hours - 15 cents/kWh Off-peak hours - 3 cents/kWh a. standard use plan - $117.50; interval use plan - $107.25 b. standard use plan - $87.50; interval use plan - $86.25 c. standard use plan - $117.50; interval use plan - $86.25 d. standard use plan - $87.50; interval use plan - $107.25

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Answers (1)

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Akira Camacho · Answer 1

Isaiah uses 1,275 kWh of electricity

= 400 kWh + 875kWh

Standard use plan:

7.5 cents/kWh for the first 400 kWh

10 cents/kWh for anything over 400 kWh

With standard use plan, Isaiah would pay:

7.5 * 400 cents + 10 * 875 cents

= 3,000 cents + 8,750 cents

= 11,750 cents

= $117.50

Isaiah uses 1,275 kWh of electricity

On-peak usage = 575 kWh

Off-peak usage = 1,275kWh - 575kWh = 700kWh

Interval use plan:

On-peak hours - 15 cents/kWh

Off-peak hours - 3 cents/kWh

With Interval use plan, Isaiah would pay:

15 * 575 cents + 3 * 700 cents

= 8,625 cents + 2,100 cents

= 10,725 cents

= $107.25

Answer: Option A

Standard use plan - $117.50

Interval use plan - $107.25