Dog runs 200miles 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

Let's define the variables:

• Let \( x \) be the number of days.
• Let \( y \) be the distance in miles.

From the information provided, we know that a dog runs 200 miles in 4 days. We can set up the relationship as follows:

1. The rate of miles per day is calculated as: \[ \text{Rate} = \frac{200 \text{ miles}}{4 \text{ days}} = 50 \text{ miles/day} \]

2. The equation relating \( y \) and \( x \) can therefore be written as: \[ y = 50x \]

Now, if we want to find the distance traveled in 14 days (where \( x = 14 \)), we can substitute \( x \) into the equation:

\[ y = 50(14) \] \[ y = 700 \]

So, the dog would run 700 miles in 14 days.