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Justin runs at a constant rate, traveling   in   hours.Write an equation that shows the relationship between  , the distance he runs in kilometers, and  , the time he spends running in hours.Do NOT use a mixed number.

Question

Justin runs at a constant rate, traveling   in   hours.Write an equation that shows the relationship between  , the distance he runs in kilometers, and  , the time he spends running in hours.Do NOT use a mixed number.

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Solution

Let's denote:

  • d as the distance Justin runs in kilometers
  • t as the time he spends running in hours

Since Justin runs at a constant rate, the relationship between the distance he runs and the time he spends running is a linear one. This means that the distance he runs (d) is directly proportional to the time he spends running (t).

We can express this relationship with the following equation:

d = rt

where:

  • r is the rate at which Justin runs.

However, the problem does not provide a specific rate. If we knew Justin's rate, we could substitute it into the equation. For example, if Justin runs at a rate of 5 kilometers per hour, the equation would be:

d = 5t

Without a specific rate, the best we can do is leave r in the equation as a variable. So the equation that shows the relationship between the distance Justin runs and the time he spends running is:

d = rt

This problem has been solved

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