anonymous
  • anonymous
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.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
help mee!
anonymous
  • anonymous
Y 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
  • anonymous
soo what would the direct variation equation be?

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anonymous
  • anonymous
Substitute k=2 in equation (1) and that's your variation equation: \[y=2x^3\]
anonymous
  • anonymous
ohh okay thanks!
anonymous
  • anonymous
np

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