Final answer:
To find a direct variation model that relates y and x, use the equation y = kx, where k is the constant of variation. Substitute the given values of x and y into the equation and solve for k. The direct variation model that relates y and x in this case is y = (-1/8)x.
Step-by-step explanation:
To find a direct variation model that relates y and x, you can use the equation y = kx, where k is the constant of variation.
To find the value of k, substitute the given values of x and y into the equation and solve for k. In this case, x = -24 and y = 3, so substituting these values gives 3 = k(-24).
Solving for k, we have k = -3/24 = -1/8. Therefore, the direct variation model that relates y and x is y = (-1/8)x.
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