Suppose y varies directly with​ x, and y=8 when x = -4. Find x when y = 12

Answer 1

We can use the formula for direct variation, which is:

y = kx

where k is the constant of variation. To find k, we can use the given values:

8 = k(-4)

Solving for k, we get:

k = -2

Now we can use this value of k to find x when y = 12:

12 = (-2)x

Solving for x, we get:

x = -6

Therefore, when y = 12, x = -6.