Let's break down the costs for each utility step-by-step to determine Jack's total monthly utility bill.
### 1. Electricity Cost
Jack uses 320 kwh of electricity, and the cost is [tex]$0.15 per kwh.
\[ \text{Electricity Cost} = 320 \, \text{kwh} \times \$[/tex]0.15 / \text{kwh} \]
[tex]\[ \text{Electricity Cost} = \$48.00 \][/tex]
### 2. Gas Cost
Jack uses 800 ft³ of gas, and the cost is [tex]$1 per 100 ft³.
\[ \text{Gas Cost} = \left(\frac{800 \, \text{ft}^3}{100 \, \text{ft}^3}\right) \times \$[/tex]1 \]
[tex]\[ \text{Gas Cost} = 8 \times \$1 \][/tex]
[tex]\[ \text{Gas Cost} = \$8.00 \][/tex]
### 3. Water Cost
Jack uses 520 gallons of water, and the cost is [tex]$0.03 per 10 gallons.
\[ \text{Water Cost} = \left(\frac{520 \, \text{gallons}}{10 \, \text{gallons}}\right) \times \$[/tex]0.03 \]
[tex]\[ \text{Water Cost} = 52 \times \$0.03 \][/tex]
[tex]\[ \text{Water Cost} = \$1.56 \][/tex]
### 4. Phone Cost
Jack's phone plan costs [tex]$40 per month.
\[ \text{Phone Cost} = \$[/tex]40.00 \]
### 5. Internet Cost
Jack's internet plan costs [tex]$100 per month.
\[ \text{Internet Cost} = \$[/tex]100.00 \]
### 6. Maintenance Cost
Jack pays no maintenance costs.
[tex]\[ \text{Maintenance Cost} = \$0.00 \][/tex]
### Total Monthly Utility Bill
Now, add up all the individual costs to get the total monthly utility bill.
[tex]\[
\text{Total Monthly Bill} = \text{Electricity Cost} + \text{Gas Cost} + \text{Water Cost} + \text{Phone Cost} + \text{Internet Cost}
\][/tex]
[tex]\[
\text{Total Monthly Bill} = \$48.00 + \$8.00 + \$1.56 + \$40.00 + \$100.00
\][/tex]
[tex]\[
\text{Total Monthly Bill} = \$197.56
\][/tex]
Therefore, Jack's total monthly utility bill is $197.56.
