Let's analyze the information in the table carefully in order to understand how the costs are structured:
[tex]\[
\begin{tabular}{|l|c|c|c|}
\hline
\text{Hours} & 2 & 4 & 6 \\
\hline
\text{Cost (\$)} & 7.00 & 14.00 & 21.00 \\
\hline
\end{tabular}
\][/tex]
Jeremy claimed that the cost for renting a bike is [tex]$7.00 per hour. However, let's break down the costs for different hours to check the correctness of his interpretation.
1. Cost for 2 Hours:
- The cost is $[/tex]7.00 for 2 hours.
- Therefore, the cost per hour can be calculated as:
[tex]\[
\frac{7.00}{2} = 3.5 \text{ dollars per hour}
\][/tex]
2. Cost for 4 Hours:
- The cost is [tex]$14.00 for 4 hours.
- Therefore, the cost per hour can be calculated as:
\[
\frac{14.00}{4} = 3.5 \text{ dollars per hour}
\]
3. Cost for 6 Hours:
- The cost is $[/tex]21.00 for 6 hours.
- Therefore, the cost per hour can be calculated as:
[tex]\[
\frac{21.00}{6} = 3.5 \text{ dollars per hour}
\][/tex]
From these calculations, we observe that for each set of hours, the cost per hour is consistently [tex]$3.5. This means that the cost per hour is actually \$[/tex]3.50, not \[tex]$7.00 as Jeremy initially thought.
Mistake Jeremy Made:
Jeremy likely misinterpreted the table, assuming that the total cost given for 2 hours (i.e., $[/tex]7.00) meant [tex]$7.00 per hour instead of checking the linear relationship between hours and total cost.
Thus, the correct interpretation is that the bike rental costs $[/tex]3.50 per hour, not $7.00 per hour.
