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What equation represents the relationship between time (t in hours) and distance traveled (d in miles) based on the following data points?

A) d = 2t
B) d = 3t
C) d = 9t
D) d = 4.5t

1 Answer

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Final answer:

The equation that represents the relationship between time and distance traveled is d = 9t, where d is the distance traveled in miles and t is the time in hours.

Step-by-step explanation:

The equation that represents the relationship between time (t in hours) and distance traveled (d in miles) based on the given data points is d = 9t.

To determine the correct equation, we can look at the given data points and see how they relate to each other. For every hour that passes (t), the distance traveled (d) increases by a factor of 9. This means that the distance traveled is directly proportional to the time.

For example, if the time is 2 hours (t = 2), the distance traveled would be 9 * 2 = 18 miles (d = 18). Similarly, if the time is 3.5 hours (t = 3.5), the distance traveled would be 9 * 3.5 = 31.5 miles (d = 31.5).

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