Question

Trevor's airbrush studio uses 4 air compressors that each require 3,300
watts when switched on. How
much would it cost to run all four
compressors for 4 hours, at a cost of $0.32 per kWh? Round to the nearest cent$13.44
$15.84$18.56
$16.90

Answer 1

Sure, let’s solve this problem step by step:

1. Determine the total power consumption in watts:

Each compressor requires 3,300 watts, and there are 4 compressors. Thus, the total power consumption for all compressors is:

$\[ \text{Total power consumption (watts)} = 4 \times 3,300 = 13,200 \text{ watts per hour} \]$

2. Calculate the total power consumption in kilowatts:

$\[ \text{Total power consumption (kilowatts per hour)} = \frac{13,200 \text{ watts}}{1,000} = 13.2 \text{ kWh per hour} \]$

3. Determine the total power consumption for 4 hours:

$\[ \text{Total power consumption for 4 hours} = 13.2 \text{ kWh/hour} \times 4 \text{ hours} = 52.8 \text{ kWh} \]$

4. Calculate the total cost:

With an electricity cost of $0.32 per kWh, the total cost is: \[ \text{Total cost} = 52.8 \text{ kWh} \times$0.32/\text{kWh} = \$16.896 \] 5. Round the total cost to the nearest cent: Rounding$16.896 to the nearest cent gives:

$\[ \ 16.90 \]$

Therefore, the cost to run all four compressors for 4 hours at $0.32 per kWh is$16.90. The correct answer is:

$\[ \boxed{16.90} \]$