To calculate Dan's monthly utility bill, we need to determine the cost for each individual utility he uses, given the rates provided. Below is a step-by-step breakdown of how we can do this:
1. Electricity Cost:
- Dan uses 240 kilowatt-hours (kWh) of electricity.
- The cost of electricity is \[tex]$0.15 per kWh.
\[
\text{Cost of Electricity} = 240 \, \text{kWh} \times 0.15 \, \frac{\$[/tex]}{\text{kWh}} = 36.00 \, \[tex]$
\]
2. Gas Cost:
- Dan uses 990 cubic feet (\(ft^3\)) of gas.
- The cost of gas is \$[/tex]1.00 per 100 cubic feet.
[tex]\[
\text{Cost of Gas} = \left( \frac{990 \, ft^3}{100} \right) \times 1.00 \, \frac{\$}{100 \, ft^3} = 9.90 \, \$
\][/tex]
3. Water Cost:
- Dan uses 450 gallons (Gal) of water.
- The cost of water is \[tex]$0.03 per 10 gallons.
\[
\text{Cost of Water} = \left( \frac{450 \, \text{Gal}}{10} \right) \times 0.03 \, \frac{\$[/tex]}{10 \, \text{Gal}} = 1.35 \, \[tex]$
\]
4. Phone Cost:
- Dan's phone plan costs \$[/tex]40 per month.
[tex]\[
\text{Cost of Phone} = 40.00 \, \$
\][/tex]
5. Internet Cost:
- Dan's internet plan costs \[tex]$100 per month.
\[
\text{Cost of Internet} = 100.00 \, \$[/tex]
\]
6. Maintenance Cost:
- Dan pays no maintenance costs because he rents the apartment.
[tex]\[
\text{Cost of Maintenance} = 0.00 \, \$
\][/tex]
Finally, we add up all these costs to get the total monthly utility bill:
[tex]\[
\text{Total Monthly Bill} = 36.00 \, \$ + 9.90 \, \$ + 1.35 \, \$ + 40.00 \, \$ + 100.00 \, \$ = 187.25 \, \$
\][/tex]
Thus, Dan's total monthly utility bill is \$187.25.
