Let's analyze the information provided in the table to find out how much Sam would earn for mowing 7 lawns.
Here is the table again:
[tex]\[
\begin{tabular}{|c|c|}
\hline
\text{Number of lawns mowed} & \text{Total money earned} \\
\hline
1 & \$25 \\
\hline
3 & \$75 \\
\hline
5 & \$125 \\
\hline
7 & ? \\
\hline
\end{tabular}
\][/tex]
First, observe the pattern in the data:
- For 1 lawn mowed, Sam earns \[tex]$25.
- For 3 lawns mowed, Sam earns \$[/tex]75.
- For 5 lawns mowed, Sam earns \[tex]$125.
Notice that as the number of lawns mowed increases, the total money earned also increases proportionally. Let's determine the rate at which Sam earns money:
By examining the values:
- For 1 lawn, \$[/tex]25.
- For 3 lawns, \[tex]$75, meaning 3 lawns give \(3 \times 25 = \$[/tex]75\).
- For 5 lawns, \[tex]$125, meaning 5 lawns give \(5 \times 25 = \$[/tex]125\).
From this pattern, we can see that Sam earns \[tex]$25 per lawn.
Now, let's calculate the total amount Sam would earn for mowing 7 lawns:
\[
\text{Total money earned for 7 lawns} = 7 \text{ lawns} \times \$[/tex]25 \text{ per lawn} = \[tex]$175
\]
Hence, Sam would earn $[/tex]\[tex]$175$[/tex] for mowing 7 lawns. Therefore, the correct answer is:
B. He would earn a total of [tex]\(\$175\)[/tex].
