Question

3. Dog runs 200 miles in 4 days. Write an equation with variables x and y then use it to find miles in 14days. x is the input and y is the output.

Answer 1

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.