Question

Suppose x varies directly with the square root of y and inversely with the cube root of z. What equation models this combined variation?

Answer 1

Answer:

$\huge\boxed{x = k \frac{\sqrt{y} }{\sqrt[3]{z} }}$

Step-by-step explanation:

Given that:

1) x ∝ √y

2) x ∝ $\frac{1}{\sqrt[3]{z} }$

Combining the proportionality

=> x ∝ $\frac{\sqrt{y} }{\sqrt[3]{z} }$

=> $x = k \frac{\sqrt{y} }{\sqrt[3]{z} }$

Where k is the constant of proportionality.