Question

Find the constant of variation for the equation z=1/3x

Answer 1

A ) z
B) x
C) 1/3
D) no constant

Answer 2

@phi @inkyvoyd @Yacoub1993 @greenlegodude57 @francoisderozay @djcool31 @e.mccormick @arabpride @whpalmer4 @quixoticideals @Vallarylynn16 @greenlegodude57 @mlb004 @djcool31

Answer 3

Are we finding the history of this equation? :-)

Is the equation supposed to be \[z = \frac{1}{3}z\] or \[z = \frac{1}{3z}\]?

Answer 4

Assuming it is the first one:

Direct variation between \(z\) and \(x\) is given by the form\[z=kx\] where \(k\) is the constant of variation.

Answer 5

If it's the second one, that's an indirect variation between \(z\) and \(x\) and is given by the form\[z = \frac{k}{x}\]where, again, \(k\) is the constant of variation.

Answer 6

@whpalmer4 idk those are the choices they gave me

Answer 7

What don't you know?

Answer 8

so would it be Z

Answer 9

Is \(z\) a constant? Why would you choose \(z\)?

Answer 10

Did you read my posts at all? Did any of them refer to \(z\) as the constant of variation?

Answer 11

OHH SO ITS NO CONSTANT

Answer 12

Come on. First, which of the two equations I showed most closely resembles the one in your problem?

Answer 13

1/3 ?

Answer 14

Will you please answer my question? Which of the two formulas here most closely resembles what is on your screen?

\[z = \frac{1}{3}x\]or\[z=\frac{1}{3x}\]

Answer 15

THE FIRST

Answer 16

Excellent. That means it is direct variation. Direct variation between \(x\) and \(z\) is written in the form

\[z = kx\]where \(k\) is a constant called the constant of variation.

Compare your equation with mine:
\[z = \frac{1}{3}x\]\[z=kx\]

What is the constant of variation?