To determine how much Sam would earn for mowing 7 lawns, we need to observe the pattern in the given table:
\begin{tabular}{|c|c|c|}
\hline
& Number of lawns mowed & Total money earned \\
\hline
1 & 1 & \[tex]$25 \\
\hline
3 & 3 & \$[/tex]75 \\
\hline
5 & 5 & \[tex]$125 \\
\hline
7 & 7 & ? \\
\hline
\end{tabular}
We note the following:
- For 1 lawn mowed, Sam earned \$[/tex]25.
- For 3 lawns mowed, Sam earned \[tex]$75.
- For 5 lawns mowed, Sam earned \$[/tex]125.
We see that the total money earned is directly proportional to the number of lawns mowed. To find out the rate at which Sam earns money:
- When Sam mows 1 lawn, he earns \[tex]$25.
- When Sam mows 3 lawns, he earns 3 * \$[/tex]25 = \[tex]$75.
- When Sam mows 5 lawns, he earns 5 * \$[/tex]25 = \[tex]$125.
Given this pattern, we can logically conclude that the money Sam earns is \$[/tex]25 per lawn mowed.
Now, we need to find out how much money Sam would earn for mowing 7 lawns:
- For 7 lawns mowed, Sam would earn 7 * \[tex]$25.
Thus, calculating this:
\[ 7 \times 25 = 175 \]
So, the logical conclusion is that Sam would earn a total of \$[/tex]175 for mowing 7 lawns.
Therefore, the correct answer is:
D. He would earn a total of \$175.
