To create a relationship between the distance run by the dog and the number of days, we can first determine the rate at which the dog runs.
The dog runs 200 miles in 4 days, so we can calculate the miles per day as follows:
\[ \text{Miles per day} = \frac{200 \text{ miles}}{4 \text{ days}} = 50 \text{ miles per day} \]
Now, we can set up an equation where \(x\) is the number of days, and \(y\) is the total miles run. We can define the relationship as:
\[ y = 50x \]
Next, we want to find the distance the dog can run in 14 days. We can substitute \(x = 14\) into our equation:
\[ y = 50(14) = 700 \]
Therefore, the dog would run 700 miles in 14 days.