Question

Y varies inversely as the cube root of x when x = 27 and y = 7

Answer 1

y =
`\frac{21}{\sqrt[3]{x} }`

Explanation:

assuming you require the equation representing the statement.

given y varies inversely as
`\sqrt[3]{x}` , then the equation relating them is

y =
`\frac{k}{\sqrt[3]{x} }` ← k is the constant of variation

to find k substitute x = 27 and y = 7 into the equation for y

7 =
`\frac{k}{\sqrt[3]{27} }` =
`(k)/(3)` ( multiply both sides by 3 )

21 = k

y =
`\frac{21}{\sqrt[3]{x} }` ← equation of variation