Question

The number of kilometers, y, varies directly to miles, x. write a direct variation that can be used to convert if 6 miles=8.045 kilometers?

Answer 1

Variation equation is `y= 1.3408 x or y= 1609/1200 x`

Explanation:

`y prop x or y = k *x ; k` is called variation constant.

`x= 6.03 , y= 8.045 :. 8.045 = k * 6` or

`8045/1000 =6 k or 1609/200 = 6 k :. k = 1609/1200 = 1.3408`

Variation equation is `y= 1.3408 x or y= 1609/1200 x` [Ans]

Note: Actually `6` miles `= 9.656` Km , however , the answer

is done as per data given.