Question

Given m varies directly with n and m = 6 when n = 5. what is the value of n when m = 12?

Answer 1

n = 10

Explanation:

given m varies directly as n then the equation relating them is

m = kn ← k is the constant of variation

to find k use the condition m = 6 when n = 5

6 = 5k ( divide both sides by 5 )

k =
`(6)/(5)` = 1.2

m = 1.2n ← equation of variation

when m = 12 , then

12 = 1.2n ( divide both sides by 1.2 )

10 = n