Variation and multiple variables

Question

Suppose that y varies directly as the cube root of x,and that y=10 when x=5832. What is y when x=125

Answer 1

y varies directly as the cube root of x means:

y = k*³√x

With some unknown constant k.

This constant you can derive by inserting the given values y = 10 for x = 5832 and solve for k.

Once you have k, you can determine the second y for x = 125.