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Travis ran 4 miles on day 1, 8 miles on day 2, and 12 miles on day 3. What is the constant rate of change?

User Ceoehis
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Answer:

Since the rate of change is constant between any two days, we can conclude that the constant rate of change for Travis’s running distance is 4 miles per day.

Explanation:

To find the constant rate of change, we need to calculate the average rate of change between any two days. The average rate of change is the total change in distance divided by the total change in time.

Between day 1 and day 2, Travis ran 8 - 4 = 4 miles. The time elapsed is 2 - 1 = 1 day. Therefore, the rate of change between day 1 and day 2 is 4 miles per day.

Between day 2 and day 3, Travis ran 12 - 8 = 4 miles. The time elapsed is again 1 day. Therefore, the rate of change between day 2 and day 3 is also 4 miles per day.

Since the rate of change is constant between any two days, we can conclude that the constant rate of change for Travis’s running distance is 4 miles per day.

I hope this helps! Let me know if you have any further questions.

User Raevik
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