Question

If p an q vary inversely and p is 22 when q is 21, determine q when p is equal to 7.

Answer 1

q = 66

Explanation:

given p varies inversely as q, then the equation relating them is

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

to find k, use the condition p = 22 when q = 21

22 =
`(k)/(21)` ( multiply both sides by 21 )

462 = k

p =
`(462)/(q)` ← equiation of variation

when p = 7 , then

7 =
`(462)/(q)` ( multiply both sides by q )

7q = 462 ( divide both sides by 7 )

q = 66