The value of x varies directly with y, and when x= 1/3,y = 12. Write an equation to represent the direct variation.
Enter the equation with no spaces. If "k" is a fraction, reduce the fraction to simplest form and enter it without spaces.
Equation:

The value of x varies directly with y and when x 13y 12 Write an equation to represent the direct variation Enter the equation with no spaces If k is a fractio class=

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Answer:

Equation: [tex] y = 36x [/tex]

Step-by-step explanation:

The equation that represents a direct variation between variable x and variable y is given as [tex] y = kx [/tex]. Where, k is the constant of proportionality.

Find the value of k given that x = ⅓ and y = 12.

Plug the values into the equation.

[tex] y = kx [/tex]

[tex] 12 = k\frac{1}{3} [/tex]

Multiply both sides by 3

[tex] 12*3 = k*1 [/tex]

[tex] 36 = k [/tex]

Substitute the value of k into [tex] y = kx [/tex]

[tex] y = 36x [/tex]

Equation: [tex] y = 36x [/tex]