Answer:
C.)
Step-by-step explanation:
Direct variation: The statement "y varies directly as x," means that when x increases, y increases by the same factor.
Use the formula y/x = k
So, A) would be...
y/x = k 1/1=1, 9/3=3, 25/5=5, 36/6=6. This is not a direct variation.
B) would be...
3/2 = 1.5, 5/4 = 1.25, 7/6 = 1.167..., 9/8 = 1.125. This is not a direct variation.
D) would be...
-1/1 = -1, 2/2 = 1, -3/3 = -1, 4/4 = 1. This wouldn't be direct variation. Even though it all equals to number 1, it still ins't, because two of them are negative, and the other two is positive. Direct variation would always equal to the same numbers. Example: If one number equals to number 5, the rest would be 5.
Lastly, C) would be...
-1/3 = -0.3..., -2/6 = -0.3..., -3/9 = -0.3..., -4/12 = -0.3... . This is a Direct Variation, because all of the answer is equal with -0.3...
Your correct answer is: C)
