Question

Hanna wants to calculate the cost of her electric bill. She is on a standard use plan that has a graduated fee schedule. Standard Use Plan 8.5 cents/kWh for the first 400 kWh 12 cents/kWh for the next 400 kWh 14.5 cents/kWh for anything over 800 kWh How much will her bill be if she uses 1,465 kWh? Round to the nearest dollar. a. $82 b. $96 c. $178 d. $144

Answer 1

c. $178.

Explanation:

We have been given that Hanna is on a standard use plan that has a graduated fee schedule. Standard Use Plan 8.5 cents/kWh for the first 400 kWh. 12 cents/kWh for the next 400 kWh and 14.5 cents/kWh for anything over 800 kWh.

The cost of first 400 kWh will be:
`400*8.5\text{ Cents}=3400\text{ Cents}`

The cost of the next 400 kWh will be:
`400*12\text{ Cents}=4800\text{ Cents}`

The remaining units of electricity will be
`1465-800=665`.

The cost of remaining 665 kWh will be:
`665*14.5\text{ Cents}=9642.5\text{ Cents}`

`\text{The total cost of Hanna's electricity bill}=(3400+4800+9642.5)\text{ Cents}`

`\text{The total cost of Hanna's electricity bill}=17842.5\text{ Cents}`

`\text{The total cost of Hanna's electricity bill}=178.425\text{ Dollars}\approx 178\text{ Dollars}`

Therefore, the total cost of Hanna's electricity bill will be $178 and option c is the correct choice.