Question

Determine whether y varies directly with x. If so, find the constant of variation k.

–7y = –3x

A. yes; 3/7

B. yes; 7/3

C. yes; -3

D. no

Answer 1

First ask yourself - what is the formula for Direct Variation?

When you google this - you'll find that this formula is shown as \(\large \color{green}{ y = kx}\).

We've got \(\large \color{red}{-7y=-3x}\)

How do we change this to fit the form of direct variation? We divide both sides of the //equation by -7 \[\large \cfrac{-7y}{-7} = \cfrac{-3}{-7}x\] Simplifying both sides of the equation, what do we get?

Answer 2

3/7

Answer 3

That's good. \[\large y=\color{blue}{\cfrac{3}{7}}x\]\(\large \cfrac{3}{7}\) is out "k" value.

Answer 4

our*

Answer 5

ok thanks

Answer 6

no problem :)

Answer 7

Thank you :)