In a direct variation, y is negative six when x is twenty-four. What is y when x equals sixteen?

negative sixty-four

negative fourteen

negative four

negative two

Question

In a direct variation, y is negative six when x is twenty-four. What is y when x equals sixteen?

 negative sixty-four

 negative fourteen

 negative four

 negative two

anonymous · Answer

@walac you know?

anonymous · Answer

Thinking about it...

anonymous · Answer

@walac K

anonymous · Answer

-4

anonymous · Answer

@walac thank you!

anonymous · Answer

-64. you do the exact same process as what i said before.

anonymous · Answer

wait... @walac how did you get that?

anonymous · Answer

@tylerj37 how did you get that?

anonymous · Answer

divide 24 by 6. then multiply the answer by 16.

anonymous · Answer

24/-6 = 16/x, just solved the equation...

anonymous · Answer

-4*16=-64

anonymous · Answer

@tylerj37 & @walac Im confused with you too but I think im going with -4 (walac)...

theeric · Answer

Direct variation means$$\frac{y_1}{x_1}=\frac{y_2}{x_2}$$

$$y_1=-6$$$$x_1=24$$
$$x_2=16$$

$$\frac{y_1}{x_1}=\frac{y_2}{x_2}\Rightarrow y_2=\frac{y_1\ x_2}{x_1}$$