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

`\huge\boxed{x = k \frac{√(y) }{\sqrt[3]{z} }}`

Explanation:

Given that:

1) x ∝ √y

2) x ∝
`\frac{1}{\sqrt[3]{z} }`

Combining the proportionality

=> x ∝
`\frac{√(y) }{\sqrt[3]{z} }`

=>
`x = k \frac{√(y) }{\sqrt[3]{z} }`

Where k is the constant of proportionality.