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


A. yes; K=-1/3 and y=-1/3x

B. No


C. yes; k = −3 and y = −3x


D. yes; k = 3 and y = 3x

Determine whether y varies directly with x If so find the constant of variation and write the equation A yes K13 and y13x B No C yes k 3 and y 3x D yes k 3 and class=

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luisejr77

Answer: B. No

Step-by-step explanation:

Direct variation has the following form:

[tex]y=kx[/tex]

Where the constant of variation is "k".

By definition, in direct variation, when the variable "x" changes, tha variable "y" changes in proportion to the variable "x".

As you can observe in the table, when the value of the variable "x" increase, the values of the variable "y" decrease, therefore we can conclude that it is not a direct variation.

Then the answer is the option B.

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