To find out how many minutes a person needs to run to burn 100 calories based on the given ratio table, we first determine the pattern of calories burned per minute.
From the table:
- For 4 minutes of running, 20 calories are burned.
- For 8 minutes of running, 40 calories are burned.
We can see that when the minutes double from 4 to 8 (4 minutes → 8 minutes), the calories burned also double from 20 to 40.
This suggests there is a consistent ratio of calories burned per minute.
To find the rate:
- From 4 minutes to 8 minutes, the calories burned doubles:
- In 4 minutes: 20 calories / 4 minutes = 5 calories per minute.
Using this rate, we can calculate how many minutes are needed to burn 100 calories:
\[ \text{Calories burned per minute} = 5 \] \[ \text{Minutes required to burn 100 calories} = \frac{100 \text{ calories}}{5 \text{ calories/minute}} = 20 \text{ minutes} \]
Therefore, it takes 20 minutes to burn 100 calories.
The answer is 20.
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