Question

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.

Answer 1

help mee!

Answer 2

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:
\[4=k(2)^3 \implies 4=8k \implies k=2\]

Answer 3

soo what would the direct variation equation be?

Answer 4

Substitute k=2 in equation (1) and that's your variation equation:
\[y=2x^3\]

Answer 5

ohh okay thanks!

Answer 6

np