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A large 12,000 BTU air conditioner running six hours each day will consume 270 kilowatt-hours
(kWh) in a month. If the monthly cost of electricity for the air conditioner is
$32.40, what is the cost of electricity in cents per kilowatt-hour?
(Round the answer to the nearest integer.)

A large $12,000$ $\mathrm{BTU}$ air conditioner running six hours each day will consume $270$ kilowatt-hours $(\mathrm{kWh})$ in a month. If the monthly cost of electricity for the air conditioner is $\$ 32.40$ , what is the cost of electricity in cents per kilowatt-hour? $\newline$ (Round the answer to the nearest integer.)

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Exponential growth and decay: word problems

Full solution

Q. A large

12,000

\mathrm{BTU}

air conditioner running six hours each day will consume

270

kilowatt-hours

(\mathrm{kWh})

in a month. If the monthly cost of electricity for the air conditioner is

\$ 32.40

, what is the cost of electricity in cents per kilowatt-hour?

\newline

(Round the answer to the nearest integer.)

Identify Total Cost: Identify the total cost and the total electricity consumption. $\newline$ We know: $\newline$ Total cost for the month: $\$32.40$ $\newline$ Total electricity consumed in the month: $270$ kWh $\newline$ To find the cost per kilowatt-hour, we need to divide the total cost by the total electricity consumed.
Convert to Cents: Convert the total cost from dollars to cents. $\newline$ Since we want the cost in cents per kilowatt-hour, we need to convert dollars to cents by multiplying by $100$ (since $\$1 = 100$ cents). $\newline$ $\$32.40 \times 100 = 3240$ cents
Calculate Cost per kWh: Calculate the cost per kilowatt-hour in cents. $\newline$ Now we divide the total cost in cents by the total electricity consumed in kilowatt-hours. $\newline$ $3240$ cents $\div$ $270$ kWh = $12$ cents per kWh
Round to Nearest Integer: Round the answer to the nearest integer. $\newline$ The calculated cost per kilowatt-hour is already an integer, so no rounding is necessary. $\newline$ Final cost per kilowatt-hour = $12$ cents per kWh

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