write a appropriate direct variation equation if y=27 when x=9

Question

solomonzelman · Answer

The form is y=kx  k is the constant of the direct variation.

so, to find k, plug in numbers   (and this is what the equation would be) 27=9k  
so we know that k=1/3

anonymous · Answer

thank you...

solomonzelman · Answer

You welcome, use this site it's good!

anonymous · Answer

Can you help me with this problem? Write an appropriate inverse variation equation if y-2 when x=9

solomonzelman · Answer

y=2? not y-2, correct?

anonymous · Answer

correct

solomonzelman · Answer

inverse variation form is y=k / x
so if x=9 and y=2, then

2=k/9  the reason that  y=k/x is called an inverse variation, is because the bigger the y the smaller the x, and vica versa.

in your problem, note that the k=18 (as 9 times 2)

anonymous · Answer

Thank you...

solomonzelman · Answer

You welcome! $$\huge\color{blue}{  ✓  }$$