Question

P is inversely proportional to V.
When V = 8, P = 5
Find a formula for Pin terms of V.

Answer 1

P = 40/V.

Explanation:

P = k/V where k is a constant

Substituting the given values:

5 = k/8

k = 5*8 = 40.

So the formula is:

P = 40/V

Answer 2

P =
`(40)/(V)`

Explanation:

given P is inversely proportional to V then the equation relating them is

P =
`(k)/(V)`

to find k use the condition when V = 8 , P = 5 , then

5 =
`(k)/(8)` ( multiply both sides by 8 to clear the fraction )

40 = k

P =
`(40)/(V)` ← equation of proportion