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Solved on Feb 28, 2024

Calculate electricity bill based on current and previous meter readings, and rate per kWh.
Given: Current reading 31,257kWh31,257 \mathrm{kWh}, Previous reading 30,782kWh30,782 \mathrm{kWh}, Rate $0.0983/kWh\$ 0.0983 / \mathrm{kWh}. Find the electricity bill for this cycle.

STEP 1

Assumptions
1. The current electricity meter reading is 31,257kWh31,257 \mathrm{kWh}
2. The previous electricity meter reading was 30,782kWh30,782 \mathrm{kWh}
3. The charge per kWh\mathrm{kWh} is $0.0983\$0.0983

STEP 2

First, we need to find the total number of kilowatt-hours (kWh) used in this cycle. We can do this by subtracting the previous reading from the current reading.
Total kWh used=Current reading−Previous reading\text{Total kWh used} = \text{Current reading} - \text{Previous reading}

STEP 3

Now, plug in the given values for the current and previous readings to calculate the total kWh used.
Total kWh used=31,257kWh−30,782kWh\text{Total kWh used} = 31,257 \mathrm{kWh} - 30,782 \mathrm{kWh}

STEP 4

Calculate the total kWh used.
Total kWh used=31,257kWh−30,782kWh=475kWh\text{Total kWh used} = 31,257 \mathrm{kWh} - 30,782 \mathrm{kWh} = 475 \mathrm{kWh}

STEP 5

Now that we have the total kWh used, we can find the total cost for this cycle. We do this by multiplying the total kWh used by the charge per kWh.
Total cost=Total kWh used×Charge per kWh\text{Total cost} = \text{Total kWh used} \times \text{Charge per kWh}

STEP 6

Plug in the values for the total kWh used and the charge per kWh to calculate the total cost.
Total cost=475kWh×$0.0983/kWh\text{Total cost} = 475 \mathrm{kWh} \times \$0.0983 / \mathrm{kWh}

STEP 7

Calculate the total cost for this cycle.
Total cost=475kWh×$0.0983/kWh=$46.6925\text{Total cost} = 475 \mathrm{kWh} \times \$0.0983 / \mathrm{kWh} = \$46.6925

STEP 8

Since bills are typically rounded to the nearest cent, we will round the total cost to two decimal places.
Total cost=$46.69\text{Total cost} = \$46.69
Your electricity bill for this cycle should be $46.69.

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