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 an equation for the situation where a dog runs 200 miles in 4 days, we first need to determine the dog's rate of running.

1. Determine the rate of running: The dog runs 200 miles in 4 days, so the daily rate \( r \) can be calculated as follows: \[ r = \frac{\text{Total miles}}{\text{Total days}} = \frac{200}{4} = 50 \text{ miles per day} \]

2. Formulate the equation: Let \( x \) represent the number of days and \( y \) represent the total miles run. Since the dog runs 50 miles each day, we can express \( y \) as a function of \( x \): \[ y = 50x \]

3. Find miles in 14 days: Now, we can use this equation to find out how many miles the dog will run in 14 days by substituting \( x = 14 \): \[ y = 50 \times 14 \] \[ y = 700 \]

Therefore, the dog runs 700 miles in 14 days.