Respuesta :
Shanika ends up paying more for her utilities, and she paid $35.875 more than Vanesa.
Given to us
1. Standard Use Plan
- 7.5 cents/kWh for the first 400 kWh
- 10 cents/kWh for the next 400 kWh
- 12. 5 cents/kWh for anything over 800 kWh
2. Interval Use Plan
- On-peak hours - 15 cents/kWh
- Off-peak hours - 3 cents/kWh
3. Both women use 1,325 kWh for the given 30 day period
Shanika's Bill
As given to us Shanika is using the Standard use plan, and her usage is 1,325 kWh. so,
- Shanika's first 400 kWh will be charged 7. 5 cents/kWh
[tex]400\times 7.5\\=3,000\ \rm cent[/tex]
- Shanika's next 400 kWh will be charged 10cents/kWh because she has already consumed 400kWh of energy,
[tex]400\times 10\\=4,000\ \rm cent[/tex]
- Rest of the kWh will be charged as 12. 5 cents/kWh, as she has already consumed 800 kWh of energy,
[tex](1325-800)\times 12.5\\= 525 \times 12.5\\= 6,562.5\ cent[/tex]
Total bill of Shanika
The total bill of Shanika
[tex]3,000\cent + 4,000\ cent +6,562.5\ cent\\= 13,562.5\ cent\\= \$135.625[/tex]
Thus, the total bill of Shanika is $135.625.
Vanesa's Bill
As given to us Vanesa is using the Interval use plan. Also, Vanesa uses 500 kWh during on-peak hours and 825 during off-peak hours.
- Bill amount for the on-peak hours
= Amount of electricity used x Rate of electricity
= 500 kWh x 15 cents/kWh
= 7,500 cent
- Bill amount for the off-peak hours
= Amount of electricity used x Rate of electricity
= 825 kWh x 3 cents/kWh
= 2,475 cent
Total bill of Vanesa
The total bill of Vanesa
= 7,500 cent + 2,475 cent
= 9,975 cent
= $99.75
Thus, the total amount paid by Vanesa is $99.75.
Therefore, the amount paid by Shanika is more.
Difference between the bill amount
The difference between the bill amount of both the womens
= total bill of Shanika - total bill of Vanesa
= $135.625 - $99.75
= $35.875
Hence, Shanika ends up paying more for her utilities, and she paid $35.875 more than Vanesa.
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