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

Step-by-step 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