### Home > PC > Chapter 5 > Lesson 5.1.1 > Problem5-6

5-6.

Find the particular function if $y$ varies inversely with the cube root of $x$ and $y = 0.35$ when $x = −0.75$. Then find $y$ correctly to three decimal places if $x = −17.11$

1. Write the inverse variation function with $k$.
2. Substitute a given point to find $k$.
3. Rewrite the function with the constant $k$.
4. Find $f\left(−17.11\right)$

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