Question

If "f" varies directly with "m," and f = -19 when m = 14, what is "f" when m = 2

Answer 1

f = -
`(19)/(7)`

Explanation:

Given f varies directly with m then the equation relating them is

f = km ← k is the constant of variation

To find k use the condition f = - 19 when m = 14, thus

- 19 = 14k ( divide both sides by 14 )

-
`(19)/(14)` = k

f = -
`(19)/(14)` m ← equation of variation

When m = 2, then

f = -
`(19)/(14)` × 2 = -
`(19)/(7)`