To calculate Tyler's monthly utility bill, we need to determine the cost of each utility individually and then sum them up. Let's break down the cost for each utility:
### 1. Electricity
Tyler uses [tex]\(245\)[/tex] kWh of electricity. The cost per kWh is [tex]\(\$0.15\)[/tex].
[tex]\[ \text{Cost of electricity} = 245 \text{ kWh} \times \$0.15/\text{kWh} = \$36.75 \][/tex]
### 2. Gas
Tyler uses [tex]\(850 \, \text{ft}^3\)[/tex] of gas. The cost per [tex]\(100 \, \text{ft}^3\)[/tex] is [tex]\(\$1\)[/tex].
[tex]\[ \text{Cost of gas} = \frac{850 \, \text{ft}^3}{100} \times \$1/100 \, \text{ft}^3 = 8.5 \times \$1 = \$8.50 \][/tex]
### 3. Water
Tyler uses [tex]\(420\)[/tex] gallons of water. The cost per [tex]\(10\)[/tex] gallons is [tex]\(\$0.03\)[/tex].
[tex]\[ \text{Cost of water} = \frac{420 \text{ gallons}}{10} \times \$0.03/10 \text{ gallons} = 42 \times \$0.03 = \$1.26 \][/tex]
### 4. Phone
The phone plan costs [tex]\(\$40\)[/tex] per month.
[tex]\[ \text{Cost of phone} = \$40.00 \][/tex]
### 5. Internet
The internet plan costs [tex]\(\$100\)[/tex] per month.
[tex]\[ \text{Cost of internet} = \$100.00 \][/tex]
### 6. Maintenance
Tyler pays no maintenance costs as he rents the apartment.
[tex]\[ \text{Cost of maintenance} = \$0.00 \][/tex]
### Total Cost
Now, we sum up all the individual costs:
[tex]\[
\begin{align*}
\text{Total utility bill} &= \text{Cost of electricity} + \text{Cost of gas} + \text{Cost of water} + \text{Cost of phone} + \text{Cost of internet} \\
&= \$36.75 + \$8.50 + \$1.26 + \$40.00 + \$100.00 \\
&= \$186.51
\end{align*}
\][/tex]
Therefore, Tyler’s total monthly utility bill is [tex]\(\$186.51\)[/tex].
