Could someone please help me with this?

Variable y varies directly with x2, and y = 96 when x = 4.

What is the value of y when x = 2?

y = ?

Question

Could someone please help me with this?

Variable y varies directly with x2, and y = 96 when x = 4.
 
What is the value of y when x = 2?
 
y =  ?

anonymous · Answer

y = kx^2

Plug in what we know:

96 = 4^2k

96 = 16k

Divide 16 to both sides:

k = 6

So the constant is 6.

Now we can plug this into the equation along with x = 2.

y = (6)(2^2)

y = (6)(4)

Can you multiply 6 * ?

anonymous · Answer

Can you multiply 6 * 4?*

anonymous · Answer

Yes I can, thank you for your help!! :D

anonymous · Answer

No problem!