Question

The value of x varies directly with y, and when x= 1/3,y = 12. Write an equation to represent the direct variation.

Answer 1

Answer:

Equation: $y = 36x$

Step-by-step explanation:

The equation that represents a direct variation between variable x and variable y is given as $y = kx$. 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.

$y = kx$

$12 = k\frac{1}{3}$

Multiply both sides by 3

$12*3 = k*1$

$36 = k$

Substitute the value of k into $y = kx$

$y = 36x$

Equation: $y = 36x$