10. Knowing that you use 245 KWH 7am – 7pm and 165 KWH 7pm – 7am, answer the follow
questions using the chart below.
Constant Usage $0.05324/ KWH
Daytimer (Most usage between 7am7pm)
· As long as most power used is 7am – 7pm,
then you receive a 20% discount on power usage
7pm – 7am.
$0.05456/ KWH
NightTimer (Most usage between 7pm7am)
· If more than 50% of power usage is outside of
7pm – 7am, then you have to pay the Daytimer
rate for all power used 7am – 7pm.
$0.05281/ KWH
How much would you have paid on the NightTimer plan?
(1 point)
$21.83
$21.65
$22.37
$22.08
10. B
answer is
D. 22.08
To calculate the cost on the NightTimer plan, we need to determine the amount of energy used during the night-time period (7pm - 7am) and the day-time period (7am - 7pm).
From the given information, we know that the energy usage during the day-time period is 245 KWH (7am - 7pm) and the energy usage during the night-time period is 165 KWH (7pm - 7am).
If more than 50% of the power usage is outside of the night-time period (7pm - 7am), then the Daytimer rate is applied to all power used during the day-time period (7am - 7pm). In this case, as all power usage is within the night-time period, we do not have to consider the Daytimer rate.
The NightTimer rate is $0.05281 / KWH.
To calculate the cost on the NightTimer plan, we multiply the energy usage during the night-time period by the NightTimer rate:
Cost during the night-time period = (165 KWH) * ($0.05281 / KWH) = $8.712
Hence, the cost on the NightTimer plan would be $8.712.
To find out how much you would have paid on the NightTimer plan, you need to calculate the cost of the electricity used during the night hours (7pm – 7am) separately from the cost of the electricity used during the day hours (7am – 7pm).
First, let's calculate the cost of electricity used during the night hours:
Nighttime usage = 165 KWh (usage between 7pm – 7am)
Cost per KWh on NightTimer plan = $0.05281
Nighttime usage cost = Nighttime usage * Cost per KWh
Nighttime usage cost = 165 KWh * $0.05281 = $8.69865
Now, let's calculate the cost of electricity used during the day hours:
Daytime usage = 245 KWh (usage between 7am – 7pm)
Discounted cost per KWh on Daytimer plan = $0.05456 * (1 - 20%) = $0.05456 * 0.8 = $0.04365
Daytime usage cost = Daytime usage * Discounted cost per KWh
Daytime usage cost = 245 KWh * $0.04365 = $10.67425
Total cost on the NightTimer plan = Nighttime usage cost + Daytime usage cost
Total cost on the NightTimer plan = $8.69865 + $10.67425 = $19.3729
Therefore, you would have paid approximately $19.37 on the NightTimer plan.
None of the provided answer options match the calculated value, so none of the given options are correct.