Suppose y varies directly with x.
Write a direct variation equation that relates x and y.
y = -10 when x = 2
A. y = -20x
B. y = 1/5x
C. y = 20x
D. y = 5x
E. y = −1/5x
F. y = -5x
The correct answer is C. y = 20x
Since y varies directly with x, we can write the equation as y = kx, where k is the constant of variation. To determine the value of k, we can use the given information that y = -10 when x = 2.
Plugging in these values into the equation, we get -10 = 2k. Solving for k, we find k = -10/2 = -5.
Now that we know k, we can write the direct variation equation as y = -5x. However, we need to find the equation that relates x and y in a positive form. Since the negative sign is not part of the equation options, we can remove it.
Therefore, the final direct variation equation that relates x and y is y = 5x, which corresponds to option D.