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

y = ?

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Mathematics

17 October, 12:51

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

y = ?

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Answers (1)

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Kian Owen · 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 = ?