To determine which student raised the least amount of money after walking 7 miles, let’s evaluate the information provided for each student:
### Student A
The equation given for Student A is [tex]\( y = 13x \)[/tex].
- [tex]\( x \)[/tex] represents the miles walked.
- [tex]\( y \)[/tex] represents the amount of money raised.
When [tex]\( x = 7 \)[/tex]:
[tex]\[ y = 13 \times 7 = 91 \][/tex]
### Student B
Student B raises [tex]$36 for walking 3 miles.
First, find the rate per mile:
\[ \text{Rate per mile} = \frac{36}{3} = 12 \]
Then calculate the money raised after walking 7 miles:
\[ \text{Money raised} = 12 \times 7 = 84 \]
### Student C
Student C raises $[/tex]52 for walking 4 miles and [tex]$65 for walking 5 miles.
First, find the rate per mile:
\[ \text{Rate per mile} = \frac{65}{5} = 13 \]
Then calculate the money raised after walking 7 miles:
\[ \text{Money raised} = 13 \times 7 = 91 \]
### Comparison
From the calculations:
- Student A raised \$[/tex]91.
- Student B raised \[tex]$84.
- Student C raised \$[/tex]91.
Thus, the student who raised the least amount of money after walking 7 miles is Student B, who raised \$84.
[tex]\[
\boxed{\text{Student B}}
\][/tex]
