jubrilyemiadegbolabo
jubrilyemiadegbolabo jubrilyemiadegbolabo
  • 27-07-2020
  • Mathematics
contestada

Y varies directly as cube root of
[tex]x[/tex]
And y=3 when
[tex]x = 27[/tex]
A. Find the value of the constant
B. Find the relationship
C. Find the value of y when
[tex]x = 8[/tex]
​

Respuesta :

Stephen46
Stephen46 Stephen46
  • 31-07-2020

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

[tex]3 = k \sqrt[3]{27} [/tex]

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

[tex]y = \sqrt[3]{x} [/tex]

C).

When x = 8

We have

[tex]y = \sqrt[3]{8} [/tex]

y = 2

Hope this helps you

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