Question

The number of miles y in a measure varies directly as the number of kilometers x. Write a direct variation equation that can be used to convert kilometers to miles, if 5 kilometers is about 3.1075 miles.

Answer 1

`y = 0.6215x`

Explanation:

I am going to model an equation in the following format:

`y = ax`

In which y is the number of miles, given the distance in kilometers x.

a is the slope, that is, how many miles each kilometer has.

5 kilometers is about 3.1075 miles.

So

5 km - 3.1075 miles

1 km - a miles

5a = 3.1075

a = 3.1075/5

a = 0.6215

So

`y = 0.6215x`