Given the statement:
y varies directly as the cube of x.
When: x = 6, y = 36
Let's find the constant of variation and the variation equation.
Here, we are to solve using the direct variation equation:
y = kx
Where k is the constat of variation.
To find the constant of variation, k, substitute 6 for x and 36 for y.
Thus, we have:
y = kx
36 = 6k
Divide both sides of the equation by 6:
[tex]\begin{gathered} \frac{36}{6}=\frac{6k}{6} \\ \\ 6=k \\ \\ k=6 \end{gathered}[/tex]
Therefore, the constant of variation is = 6.
The varitaion equation will be:
y = 6x
ANSWER:
• k = 6
• Variation equation,: ,y = 6x
