"A power company charges $0.19 per kilowatt-hour (kWh) and $19.84 in monthly taxes. The monthly charge, C, (in $) is given by C = 0.19h + 19.84, where 'h' is the number of kilowatt-hours used. If a family's bill comes to $234.92, determine the number of kilowatt-hours used."

Answers

Answer 1

Answer: To determine the number of kilowatt-hours used, you can rearrange the equation C = 0.19h + 19.84 to solve for 'h'. In this equation, 'C' represents the total monthly charge, which is $234.92 in this case. So, you have:

$234.92 = 0.19h + 19.84

Now, let's solve for 'h':

1. First, subtract 19.84 from both sides of the equation:

$234.92 - 19.84 = 0.19h

2. Simplify the left side:

$215.08 = 0.19h

3. Finally, divide both sides by 0.19 to solve for 'h':

h = $215.08 / 0.19

h ≈ 1131.58

So, the family used approximately 1131.58 kilowatt-hours. Since kilowatt-hours are typically measured as whole numbers, you can round this to the nearest whole number. Therefore, the family used approximately 1132 kilowatt-hours.

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