Question

Direct or inverse variation?

Answer 1

Inverse variation (2.7 hours)

Explanation:

The faster you go, the less time it will take to travel the same distance.

let s is speed
let d be distance
let t be time

Using the formula: `s = (d)/(t)`
thus: `s*t=d`

if I increase s, but keep d the same,

`(s+a)*(t+b)=d`
`=>st+at+bs+ab=d`
`=>at+bs+ab=0`

if a is positive, then in order d to stay the same, b must be negative

thus, as speed goes up, time goes down, so they vary inversely.