To find the rate of change for the situation, you can determine the rate at which miles are being run per hour.
You have two data points:
- In 1 hour, you run 3 miles.
- In 2 hours, you run 6 miles.
To calculate the rate of change in terms of miles per hour, you can use the formula:
\[ \text{Rate of Change} = \frac{\text{Change in miles}}{\text{Change in time (hours)}} \]
We can calculate the overall change from 1 hour to 2 hours:
- The change in miles from 3 miles to 6 miles is \( 6 - 3 = 3 \) miles.
- The change in time from 1 hour to 2 hours is \( 2 - 1 = 1 \) hour.
Now plug these values into the formula:
\[ \text{Rate of Change} = \frac{3 \text{ miles}}{1 \text{ hour}} = 3 \text{ miles per hour} \]
Thus, the rate of change for the situation is 3 miles per hour. This indicates that you are maintaining a consistent speed during your run.
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