Question

If p and q vary inversely and p is 8 when q is 6, determine q when p is equal to 12.

Answer 1

4

Explanation:

-

Answer 2

q = 4

Explanation:

given p and q vary inversely then the equation relating them is

p =
`(k)/(q)` ← k is the constant of variation

to find k use the condition p = 8 when q = 6 , that is

8 =
`(k)/(6)` ( multiply both sides by 6 )

48 = k

p =
`(48)/(q)` ← equation of variation

when p = 12 , then

12 =
`(48)/(q)` ( multiply both sides by q )

12q = 48 ( divide both sides by 12 )

q = 4