To find the rate of change in this situation, we can look at the distance covered per hour.
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Calculate the rates:
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In the first scenario, you run 7 miles in 1 hour. The rate is: \[ \text{Rate}_1 = \frac{7 \text{ miles}}{1 \text{ hour}} = 7 \text{ miles per hour} \]
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In the second scenario, you run 14 miles in 2 hours. The rate is: \[ \text{Rate}_2 = \frac{14 \text{ miles}}{2 \text{ hours}} = 7 \text{ miles per hour} \]
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Compare the rates: Both rates are the same, which is 7 miles per hour.
Thus, the rate of change for both situations is consistent at 7 miles per hour.