Users choose to subscribe to one of the plans explained in the chart below. Knowing that you use 275 KWH from 7 a.m.—7 p.m. and 265 KWH 7 p.m.—7 a.m., how much would you pay if you are a NightTimer plan subscriber?

Question

Constant Usage

$0.06624/KWH

Daytimer (most usage between 7 a.m.—7 p.m.)

Additionally, as long as more than half of power usage is from 7 a.m.—7 p.m., then you receive a 20% discount on power usage between 7 p.m.—7 a.m.

$0.06831/KWH

NightTimer (most usage from 7 p.m.—7 a.m.)

If more than half of power usage is from 7 a.m.—7 p.m., then you have to pay the Daytimer rate for all power used between 7 a.m.—7 p.m.

$0.06445/KWH

(1 point)
Responses

$35.86
$35.86

$34.80
$34.80

$36.89
$36.89

$35.77

Answer 1

To calculate the total cost for a NightTimer plan subscriber using the provided rates, we need to follow these steps:

1. Identify total power usage:

   • Daytime usage (7 a.m.—7 p.m.): 275 KWH
   • Nighttime usage (7 p.m.—7 a.m.): 265 KWH
   • Total power usage = Daytime usage + Nighttime usage = 275 KWH + 265 KWH = 540 KWH

2. Determine if more than half is used during the daytime period:

   • Half of the total usage = 540 KWH / 2 = 270 KWH
   • Since 275 KWH (daytime usage) is more than 270 KWH, we apply the Daytimer rate for daytime usage.

3. Calculate the cost:

   • Daytime cost = Daytime usage × Daytimer rate
   • Nighttime cost = Nighttime usage × NightTimer rate

   Using the rates from the chart:

   • Daytimer rate = $0.06831 per KWH
   • NightTimer rate = $0.06445 per KWH

   Now calculating the costs:

   • Daytime cost = 275 KWH × $0.06831 = $18.78525
   • Nighttime cost = 265 KWH × $0.06445 = $17.06525

4. Total cost:

   • Total cost = Daytime cost + Nighttime cost
   • Total cost = $18.78525 + $17.06525 = $35.85050

5. Round to the nearest cent:

   • Total cost = $35.85

Based on the options provided, the correct answer is $35.86. Thus, the total amount you would pay if you are a NightTimer plan subscriber would be $35.86.