To determine the ratio of the total number of surveyed students who attended soccer games to the total number of students surveyed, follow these steps:
1. List the Number of Games Attended:
The list of games attended by each of the 15 seventh-grade students is:
[tex]\[ 2, 3, 6, 4, 7, 0, 4, 5, 0, 1, 2, 3, 2, 1, 4 \][/tex]
2. Count the Total Number of Students Surveyed:
The total number of students surveyed is given directly as 15.
3. Identify Students Who Attended At Least One Game:
We need to count how many students attended at least one game (i.e., their attendance is greater than 0). Let's go through the list:
[tex]\[
\begin{aligned}
&2, &\text{(attended)} \\
&3, &\text{(attended)} \\
&6, &\text{(attended)} \\
&4, &\text{(attended)} \\
&7, &\text{(attended)} \\
&0, &\text{(did not attend)} \\
&4, &\text{(attended)} \\
&5, &\text{(attended)} \\
&0, &\text{(did not attend)} \\
&1, &\text{(attended)} \\
&2, &\text{(attended)} \\
&3, &\text{(attended)} \\
&2, &\text{(attended)} \\
&1, &\text{(attended)} \\
&4 &\text{(attended)}
\end{aligned}
\][/tex]
Counting these, we find there are 13 students who attended at least one game.
4. Form the Ratio:
The ratio of the number of students who attended at least one game to the total number of students surveyed is:
[tex]\[
\frac{\text{Number of students who attended games}}{\text{Total number of students}} = \frac{13}{15}
\][/tex]
So, the correct answer is [tex]\(\frac{13}{15}\)[/tex].
