Question

If y varies inversely as the cube root of x, and y = 12 when x = 8, find y when x = 1.
y = ?

Answer 1

If y varies inversely as the cube root of x:
y = k / ∛x
12 = k / ∛8
12 = k / 2
k = 12 · 2
k = 24
When x = 1
y = 24 / ∛1 = 24 / 1 = 24
Answer: y = 24