Question

if X varies inversely as the cube root of y and X=1 when y=8 write the formula connecting X and y.​

Answer 1

The formula connecting x and y when x varies inversely as the cube root of y and x = 1 when y = 8 is x = 2 / ∛y

Definition and types Variation:

Variation establish relationship between variables. There are different types of variation which are

• Direct variation
• Joint variation
• Inverse variation

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

• x α 1 / ∛y

• x = k / ∛y

1 = k / ∛8

1 = k / 2

k = 2

Therefore,

x = 2 / ∛y

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