Question

If x varies inversely as p and x=2 when p=4 find the formula connecting them​

Answer 1

x =
`(p)/(2)`

Explanation:

x ∝ p

x = kp -------(1)

Where k is the constant of proportionality.

Now, x = 2 when p = 4

Putting in the above formula

2 = k(4)

Dividing both sides by 4

k =
`(2)/(4)`

=> k =
`(1)/(2)`

Putting k in (1)

x =
`(p)/(2)`

Now this is the required equation connecting both.