For the data in the table, tell whether y varies directly with x. If it does, write an equation for the direct variation.
x y
negative two 1
3 6
8 11
(1 point)
Responses
Not a direct variation
Not a direct variation
Direct variation, y equals x.
Direct variation, Image with alt text: y equals x.
Direct variation,y equals 2 x.
Direct variation, Image with alt text: y equals 2 x.
Direct variation, y equals negative 2 x.
Direct variation, y equals 2x.
To determine if y varies directly with x, we need to check if the ratio of y and x remains constant throughout the table.
Let's calculate the ratios for each pair:
1. For the pair (-2, 1), the ratio is 1/(-2) = -1/2.
2. For the pair (3, 6), the ratio is 6/3 = 2.
3. For the pair (8, 11), the ratio is 11/8.
Since the ratios are not constant, we can conclude that y does not vary directly with x.
Therefore, there is no equation for direct variation.