Question

If m varies inversely as n, such that m= 3 when n = 2, find m if n = 12.

A. 1/6
B. 1/2
C. 2
D. 6​

Answer 1

B

Explanation:

Given m varies inversely as n then the equation relating them is

m =
`(k)/(n)` ← k is the constant of variation

To find k use the condition m = 3 when n = 2

3 =
`(k)/(2)` ( multiply both sides by 2 to clear the fraction )

6 = k

m =
`(6)/(n)` ← equation of variation

when n = 12 , then

m =
`(6)/(12)` =
`(1)/(2)` → B

Answer 2

Answer: m = kn/p3 = k*2/1 --> k = 3/2m = 3n / 2p

Explanation: