Question

Given that y is inversely proportional to the cube root of x, and that y = c2 when x = 8 and
y = c – 31 when x = 27, find the values of c.

Answer 1

Answer:

my it will help you

Step-by-step explanation:

Given that, the cube root of x varies inversely as square of y

Also, x=8 and y=3

Then,

3

x

=

y

2

1

and

3

x

=k×

y

2

1

∴

3

8

=k×

(3)

2

1

⇒2=k×

9

1

⇒k=18

Then y=1

2

1

=

2

3

Then

3

x

=18×

(

2

3

)

2

1

⇒

3

x

=18×

9

4

⇒

3

x

=8

⇒x=2