Question

The square of p varies inversely as q. When Q=6 p=4

What is the value of q when
P = 12

A. 2/3
B. 3/2
C. 2
D. 18

Answer 1

A

Explanation:

Given p² varies inversely as q then the equation relating them is

p² =
`(k)/(q)` ← k is the constant of variation

To find use the condition when q = 6, p = 4 , then

4² =
`(k)/(6)`

16 =
`(k)/(6)` ( multiply both sides by 6 )

96 = k

p² =
`(96)/(q)` ← equation of variation

When p = 12 , then

12² =
`(96)/(q)` ( multiply both sides by q )

144q = 96 ( divide both sides by 144 )

q =
`(96)/(144)` =
`(2)/(3)` → A