Question

Knowing that you use 245 KWH between 7:00 a.m. and 7:00 p.m. and 165 KWH between 7:00 p.m. and 7:00 a.m., answer the follow questions using the chart below.

Constant Usage

$0.05324/ KWH

Daytimer (Most usage between 7:00 a.m. and 7:00 p.m.)

· As long as most power used is between 7:00 am and 7:00 p.m., then you receive a 20% discount on power usage between 7:00 p.m. and 7:00 a.m.

$0.05456/ KWH

NightTimer (Most usage between 7:00 p.m. and 7:00 a.m.)

· If more than 50% of power usage is outside of 7:00 p.m. to 7:00 a.m., then you have to pay the Daytimer rate for all power used between 7:00 a.m. and 7:00 p.m.

$0.05281/ KWH

How much would you have paid on the NightTimer plan?

(1 point)
Responses

$21.83
$21.83

$21.65
$21.65

$22.37
$22.37

$22.08
$22.08
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Answer 1

To calculate how much you would have paid on the NightTimer plan, we need to determine the total cost based on the rates provided.

1. **Energy usage during 7:00 a.m. - 7:00 p.m. (Daytime)**: 245 KWH
2. **Energy usage during 7:00 p.m. - 7:00 a.m. (Nighttime)**: 165 KWH

### Step 1: Calculate total KWH usage
Total KWH = 245 KWH (Daytime) + 165 KWH (Nighttime) = 410 KWH

### Step 2: Determine the applicable rates
Since we are using the NightTimer plan but need to check the requirements:
- Total night usage: 165 KWH
- Total day usage: 245 KWH
- Percentage of night usage = 165 KWH / 410 KWH = 0.4024 (approximately 40.24%).

This means that the usage is more than 50% during the day, making it applicable for the Daytimer rate during daytime hours.

### Step 3: Calculate the costs

**Cost during Daytime (using Daytimer rate)**:
- Rate = $0.05456 per KWH
- Total cost for daytime usage:
\[
\text{Cost for Daytime} = 245 \text{ KWH} \times 0.05456 = 13.36
\]

**Cost during Nighttime (using Nighttimer rate)**:
- Rate = $0.05281 per KWH
- Total cost for nighttime usage:
\[
\text{Cost for Nighttime} = 165 \text{ KWH} \times 0.05281 = 8.71
\]

### Step 4: Total cost calculation
Total cost = Cost for Daytime + Cost for Nighttime
\[
\text{Total Cost} = 13.36 + 8.71 = 22.07
\]

Since this calculation doesn't exactly match the provided options, review the calculations again:
**Final cost for NightTimer plan: $22.08**

Therefore, the correct response is:

**$22.08**