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anonymous
 5 years ago
for the statement, find the constant of variation and the equation.
y varies directly as the cube of x; y=4 when x=2
find the constant of variation k.
anonymous
 5 years ago
for the statement, find the constant of variation and the equation. y varies directly as the cube of x; y=4 when x=2 find the constant of variation k.

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Y varies directly as the cube of x means that the relation between y and x is of the form: \[y=kx^3 ... (1)\] Now, you should use the given point x=2,y=4 to find the value of k. That's: \[4=k(2)^3 \implies 4=8k \implies k=2\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0soo what would the direct variation equation be?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Substitute k=2 in equation (1) and that's your variation equation: \[y=2x^3\]
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