Question

Write and solve a direct variation equation to find the answer

Answer 1

Direct Variation

If y varies directly with x, then they are related by the equation:

y = kx

Where k is a constant called the proportionality factor.

It's given that y = -38 when x = 19. Substituting those values in the equation, we can find the value of k:

-38 = k*19

Dividing by 19:

k = -38 / 19

k = -2

Now our model is complete:

y = -2x

Now it's required to find the value of x when y = -4. Substituting:

-4 = -2x

Dividing by -2:

x = -4 / (-2)

x = 2