Question

Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. x = 2.5 when y = 100. k = 250, y = 250x k = 0.025, y = 0.025x

Answer 1

`k=250`

Explanation:

If y varies inversely with x, then

`y=(k)/(x),`

where k is the constant of variation or the constant of inverse proportionality.

Since
`x=2.5` when
`y=100,` you have that

`100=(k)/(2.5)`

Evaluate k:

`k=100\cdot 2.5\\ \\k=250`

and

`y=(250)/(x)`