To determine how much money Sam would earn for mowing 7 lawns, let's first examine the pattern of earnings provided in the table:
1. For 1 lawn, he earns [tex]$25.
2. For 3 lawns, he earns $[/tex]75.
3. For 5 lawns, he earns [tex]$125.
We can observe that earnings increase linearly with the number of lawns mowed. To confirm this and predict the earnings for 7 lawns step-by-step, let's calculate the earnings per lawn.
From the information given:
- For 1 lawn: $[/tex]25
- For 3 lawns: [tex]$75
- For 5 lawns: $[/tex]125
First, we notice that if he earns [tex]$25 for 1 lawn, then he consistently earns $[/tex]25 per lawn. This is because:
[tex]\[ \text{Earnings for 3 lawns} = 3 \times \$25 = \$75 \][/tex]
[tex]\[ \text{Earnings for 5 lawns} = 5 \times \$25 = \$125 \][/tex]
Given the earnings per lawn is [tex]$25, we can extend this to calculate the earnings for 7 lawns:
\[ \text{Earnings for 7 lawns} = 7 \times \$[/tex]25 \]
Executing this calculation:
[tex]\[ 7 \times 25 = 175 \][/tex]
Therefore, Sam would earn a total of [tex]\( \$175 \)[/tex] for mowing 7 lawns.
The correct conclusion to make about the amount Sam would earn for mowing 7 lawns is:
A. He would earn a total of \$175.
