Question

an electric company charges 48 cents (100 cents per dollar) per kilowatt (kw) hour. if a company uses 200 kw for 80 hours, what is the amount of money the company will be charged in dollars?
1.20 × 10² dollars
3.84 × 10² dollars
7.68 × 10³ dollars
1.92 × 10⁴ dollars

Explanation:

Step1: Convert cents to dollars

$\text{Rate in dollars} = \frac{48}{100} = 0.48$ dollars per kW hour

Step2: Calculate total kW hours

$\text{Total kW hours} = 200 \times 80 = 16000$ kW hours

Step3: Compute total cost

$\text{Total cost} = 0.48 \times 16000 = 7680$ dollars

Step4: Convert to scientific notation

$7680 = 7.68 \times 10^3$ dollars

Answer:

$7.68 \times 10^3$ dollars