Question

In a direct variation, y=12 when x=2. Write a direct variation equation that shows the relationship between x and y.

Answer 1

Explanation:

In direct variation, the relationship between two variables x and y can be represented by the equation y = kx, where k is the constant of variation.

To find the value of k, we can substitute the given values of x and y into the equation:

y = kx

12 = k(2)

Solving for k, we can divide both sides by 2:

k = 6

Now we can write the direct variation equation using the value of k:

y = 6x

Therefore, the direct variation equation that shows the relationship between x and y is y = 6x.