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:
[tex]\[
\text{Total power consumption (watts)} = 4 \times 3,300 = 13,200 \text{ watts per hour}
\][/tex]
2. Calculate the total power consumption in kilowatts:
[tex]\[
\text{Total power consumption (kilowatts per hour)} = \frac{13,200 \text{ watts}}{1,000} = 13.2 \text{ kWh per hour}
\][/tex]
3. Determine the total power consumption for 4 hours:
[tex]\[
\text{Total power consumption for 4 hours} = 13.2 \text{ kWh/hour} \times 4 \text{ hours} = 52.8 \text{ kWh}
\][/tex]
4. Calculate the total cost:
With an electricity cost of [tex]$0.32 per kWh, the total cost is:
\[
\text{Total cost} = 52.8 \text{ kWh} \times \$[/tex]0.32/\text{kWh} = \[tex]$16.896
\]
5. Round the total cost to the nearest cent:
Rounding \$[/tex]16.896 to the nearest cent gives:
[tex]\[
\$16.90
\][/tex]
Therefore, the cost to run all four compressors for 4 hours at [tex]$0.32 per kWh is $[/tex]16.90. The correct answer is:
[tex]\[
\boxed{16.90}
\][/tex]
