\begin{tabular}{|c|c|}
\hline
Mechanic & Labor Prices \\
\hline
A & [tex]$\$[/tex] 276.25[tex]$ for 3.25 hours \\
\hline
B & $[/tex]\[tex]$ 285$[/tex] for 3 hours \\
\hline
C & [tex]$\$[/tex] 304.50[tex]$ for 3.5 hours \\
\hline
D & $[/tex]\[tex]$ 405$[/tex] for 4.5 hours \\
\hline
\end{tabular}

The table shows the labor costs for different mechanics that Mikayla has visited. Use the drop-down menus to complete these statements:

1. Based on the data in the table, Mikayla should return to Mechanic [tex]$\square$[/tex] for her next repairs.

2. This mechanic charges [tex]$\square$[/tex] [tex]$\$[/tex] 85 \text{ per hour of labor}[tex]$.

3. If an average repair takes 3 hours, Mikayla would pay this mechanic $[/tex]\square$ for these repairs.



Answer :

Let's go through the solution step-by-step to address each part of the question.

1. Determine the hourly rates for each mechanic:
- Mechanic A: [tex]$276.25 for 3.25 hours - Hourly rate = \( \frac{276.25}{3.25} = 85 \) dollars per hour - Mechanic B: $[/tex]285 for 3 hours
- Hourly rate = [tex]\( \frac{285}{3} = 95 \)[/tex] dollars per hour
- Mechanic C: [tex]$304.50 for 3.5 hours - Hourly rate = \( \frac{304.50}{3.5} = 87 \) dollars per hour - Mechanic D: $[/tex]405 for 4.5 hours
- Hourly rate = [tex]\( \frac{405}{4.5} = 90 \)[/tex] dollars per hour

2. Identify which mechanic has the lowest hourly rate:
- After calculating the hourly rates, we see that Mechanic A has the lowest rate of [tex]$85 per hour. 3. Calculate the cost for an average repair of 3 hours with the lowest rate: - Cost of repair = \( 3 \text{ hours} \times 85 \text{ dollars per hour} = 255 \) dollars Using this information, we can complete the statements as follows: - Based on the data in the table, Mikayla should return to Mechanic A for her next repairs. - This mechanic charges $[/tex]85 per hour of labor.
- If an average repair takes 3 hours, Mikayla would pay this mechanic $255 for these repairs.