## Suppose f varies directly as g, and f varies inversely as h. f = -12 when h = 4 and g = -3. Find g when f = 28 and h = 8.

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## Answers ( )

Answer:g = 14

Step-by-step explanation:Given that f varies directly as g and inversely as h then the equation relating them is

f = ← k is the constant of variation

To find k use the condition f = – 12 when h = 4 and g = – 3, that is

– 12 = ( multiply both sides by 4 )

– 48 = – 3k ( divide both sides by – 3 )

16 = k

f = ← equation of variation

When f = 28 and h = 8 , then

28 = = 2g ( divide both sides by 2 )

g = 14