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25 votes
25 votes
For the statement, find the constant of variation and the variation equation.

y varies directly as the cube of x; y = 4 when x = 2

User Scjody
by
2.6k points

1 Answer

20 votes
20 votes

Answer:

see explanation

Explanation:

given y varies directly as x³ then the equation relating them is

y = kx³ ← k is the constant of variation

to find k use the condition y = 4 when x = 2 , then

4 = k × 2³ = 8k ( divide both sides by 8 )


(4)/(8) = k , that is

k =
(1)/(2)

y =
(1)/(2) x³ ← equation of variation

User Andrei Dziahel
by
3.0k points
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