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Benito spent [tex]$\$[/tex]1837[tex]$ to operate his car last year. Some of these expenses are listed in the table below:

\begin{tabular}{|l|l|}
\hline
Operating Expenses & Cost \\
\hline
Insurance & $[/tex]\[tex]$972$[/tex] \\
\hline
Registration & [tex]$\$[/tex]114[tex]$ \\
\hline
Maintenance & $[/tex]\[tex]$105$[/tex] \\
\hline
\end{tabular}

Benito's only other expense was for gasoline. If he drove 7600 miles, what was the average cost of the gasoline per mile?

A. [tex]$7.5 \text{ C}$[/tex]
B. [tex]$5.5 \text{ C}$[/tex]
C. [tex]$8.0 \text{ C}$[/tex]
D. [tex]$8.5 \text{ C}$[/tex]

Please select the best answer from the choices provided:
A
B
C
D


Sagot :

To determine the average cost of gasoline per mile, we need to follow several steps. Here is the solution step-by-step:

### Step 1: Determine the gasoline cost

1. Calculate the total spent on insurance, registration, and maintenance:
[tex]\[ \text{Total of other expenses} = \$972 + \$114 + \$105 = \$1191 \][/tex]

2. Subtract these expenses from the total operating cost to find out the cost of gasoline:
[tex]\[ \text{Gasoline cost} = \$1837 - \$1191 = \$646 \][/tex]

### Step 2: Determine the average cost per mile for gasoline

1. Given that Benito drove 7600 miles in total, we need to calculate the average cost per mile:
[tex]\[ \text{Average cost per mile} = \frac{\text{Gasoline cost}}{\text{Total miles driven}} = \frac{\$646}{7600 \text{ miles}} \approx \$0.085 \text{ per mile} \][/tex]

### Step 3: Select the correct choice

The calculated average cost of gasoline per mile is approximately \[tex]$0.085, which corresponds to option D. Thus, the correct answer is: D. $[/tex]8.5 \text{C}$