1. **State the problem:** A student runs 2 minutes for every 10 minutes she walks. We need to complete the table of running and walking times and find how long she would walk if she runs for 7 minutes.
2. **Understand the ratio:** The ratio of running to walking time is $2:10$, which simplifies to $1:5$. This means for every 1 minute running, she walks 5 minutes.
3. **Complete the table:** Given running times 2 and 4 minutes, the corresponding walking times are 10 and 20 minutes respectively. This matches the ratio $1:5$.
4. **Find walking time for 7 minutes running:** Using the ratio $1:5$, if running time $x=7$ minutes, then walking time $y=5 \times 7=35$ minutes.
5. **Summary:** The completed table is:
| Running (min) | 2 | 4 | 7 |
|---------------|---|---|---|
| Walking (min) | 10| 20| 35|
The student would walk 35 minutes if she runs for 7 minutes.
6. **Formula used:**
$$ y = 5x $$
where $x$ is running time and $y$ is walking time.
This linear relationship shows walking time is 5 times running time.
Running Walking D6Ca80
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