Question

Y varies directly as cube root of


`x`
And y=3 when

`x = 27`
A. Find the value of the constant
B. Find the relationship
C. Find the value of y when

`x = 8`
​

Answer 1

Explanation:

Y varies directly as cube root of x is written as

y = k³√x

where k is the constant of proportionality

A).

when y = 3

x = 27

We have

`3 = k \sqrt[3]{27}`

But ³√27 = 3

That's

3 = 3k

Divide both sides by 3

k = 1

The value of the constant is 1

B).

The value of the relationship is

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

C).

When x = 8

We have

`y = \sqrt[3]{8}`

y = 2

Hope this helps you