Question
tell whether y varies directly with x if it does write an equation for the direct variation
X Y X Y
-1 -6 -3 7.5
2 3 -1 2.5
5 12 2 -5
9 24 5 -12.5
X Y X Y
-1 -6 -3 7.5
2 3 -1 2.5
5 12 2 -5
9 24 5 -12.5
Answers
GPT 3.5
To determine whether y varies directly with x, we need to check if the ratio between y and x is constant for all the given points.
Let's calculate the ratios for the first set of data points (-1, -6) and (-3, 7.5):
-6 / -1 = 6
7.5 / -3 = -2.5
These ratios are not equal, indicating that y does not vary directly with x.
Therefore, there is no equation for direct variation.
Let's calculate the ratios for the first set of data points (-1, -6) and (-3, 7.5):
-6 / -1 = 6
7.5 / -3 = -2.5
These ratios are not equal, indicating that y does not vary directly with x.
Therefore, there is no equation for direct variation.