1. **State the problem:** We are given data about students who like action films and need to analyze the relationship between total students and those who like action films.
2. **Complete the table:** The problem states 1 out of 3 students likes action films, so the ratio is $\frac{1}{3}$. We check the table values:
| Total Students | Action Film Fans |
|----------------|------------------|
| 60 | 20 |
| 120 | 40 |
| 180 | 60 |
| 240 | 80 |
Each "Action Film Fans" value is exactly $\frac{1}{3}$ of the "Total Students" value, confirming the table is complete and consistent.
3. **Graph the relationship:** Plot points $(60,20)$, $(120,40)$, $(180,60)$, and $(240,80)$ on a coordinate grid with $x$ as total students and $y$ as students who like action films.
4. **Determine proportionality:** Since $y$ is always $\frac{1}{3}x$, the graph is a straight line through the origin, showing a proportional relationship.
5. **Write the equation:** The constant of proportionality is $k=\frac{1}{3}$, so the equation is:
$$y=\frac{1}{3}x$$
This means for every 3 students, 1 likes action films.
Final answer: The relationship is proportional with equation $y=\frac{1}{3}x$.
Action Films 0E01De
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