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

y = ?

Question

Mathematics

Rhys Terry

25 September, 13:41

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

y = ?

+1

Answers (1)

Know the Answer?

Billy Waller · 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

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

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

y = ?