Subjects algebra

Running Walking D6Ca80

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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.