Question

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.