Question

Suppose I varies jointly with g and v, and j=3 when g=4 and v=3

Find the constant of variation

Answer 1

k =
`(1)/(4)`

Explanation:

Given that j varies jointly with g and v then the equation relating them is

j = kgv ← k is the constant of variation

To find k use the condition j = 3 when g = 4 and v = 3

k =
`(j)/(gv)` =
`(3)/(4(3))` =
`(3)/(12)` =
`(1)/(4)`