What is the constant of variation for the quadratic variation?

x: 2 3 4 5 6
y: 32 , 72 128 200 288

8

16

24

40

Question

What is the constant of variation for the quadratic variation?

 

x:   2     3    4        5       6 
y:  32 , 72 128    200    288 

 


   
8

 
   
16

 
   
24

 
   
40

phi · Answer

direct variation means you can write 
y = k x  
where k is the "constant of variation"

direct *quadratic* variation means we square the x term, and the equation is
$$ y = k x^2 $$

to find k, pick any (x,y) pair from your table, for example (2,32)
replace x in the formula with 2, and replace y with 32
then "solve for k"
Can you do that ?