WHOEVER ANSWERS THIS GETS A MEDAL AND A FAN

Question

WHOEVER ANSWERS THIS GETS A MEDAL AND A FAN <3
Ok so they're asking whether these equations are a direct variation, and if they are, whats the constant variation?
4y=x & y/x=3

campbell_st · Answer

so a direct variation equation is in the form 

y = kx

k is the constant of variation... 

so in each equation, make y the subject

campbell_st · Answer

so for the 1st equation, divide both sides by 4

in the 2nd equation. multiply both sides of the equation by x... 

hope it helps

anonymous · Answer

So basically I just flip them around? For the first one would K = 4 then..?

campbell_st · Answer

not quite

4y = x 

divide both sides by 4  to get 

y = ?x  

what would ? be..? it's not 4

anonymous · Answer

Hmm....this confuses me but I suppose then it's just not a direct variation then?

campbell_st · Answer

well its

$$\frac{4y}{4} = \frac{x}{4} $$

which simplifies to 

$$y = \frac{1}{4} x$$

so what is the constant of variation

anonymous · Answer

OH! so then the constant of variation is 1/4...right..?

anonymous · Answer

How about the second equation? y/x=3 
Would it look something like this..? y=3*x

unklerhaukus · Answer

yep

campbell_st · Answer

correct for both questions

anonymous · Answer

thanks!