A particular electric utility charges customers different rates depending on their daily rate of energy consumption: $0.05/kWh up to 20 kWh, and $0.10/kWh for all energy usage above 20 kWh in any 24-hour period. (a) Calculate how many 100 W light bulbs can be run continuously for less than $10 per week. (b) Calculate the daily energy cost if 2000 kW of power is used continuously.

(a) the number of 100W light bulbs is 11

(b) the daily cost of 2000 kW is $4,800

Step-by-step explanation:

charge of energy consumption up to 20 kWh = $0.05/kWh

charge of energy consumption above 20 kWh = $0.10/kWh

(a) number of 100 W light bulbs that can be run continuously for less than $10 per week

Total energy consumed by 100 W in 1 week = (0.1 kW) x (7 x 24 h)

                                                                          = 16.8 kWh

Charge associated with this consumption = $0.05/kWh

let the number of 100 W light bulbs = n

Since 0.9 is not a whole number, the number of 100 W light bulbs is 11.

(b) if 2000 kW is used continuously

total energy consumption = 2000 kW x 24 h = 48,000 kWh

The daily cost is calculated as;

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