Respuesta :

nermay7

Answer:   y= 64  

Step-by-step explanation:

If y is 16 when  x is 2  This means if  x is 8 y will be 64.

Set up the proportional equation

[tex]\frac{2}{16} = \frac{8}{y}[/tex]     Cross multiply  

2y = 128

y= 64

ashishdwivedilVT

The value of y when x=8 is 256.

It is given that

y ∝ x²

So, y = kx²....(1)

where k = constant of proportionality

What is the constant of proportionality?

It relates two parameters that are mutually dependent.

It is given that

When, x=2, y=16

This means, (1) becomes, 16=k.2² ⇒k =4

So, (1) becomes, y =4x²

So, when x= 8, y= 4*8²

So, y =256 when x=8

Therefore, The value of y when x=8 is 256.

To get more about the constant of proportionality visit:

https://brainly.com/question/1835116

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