To determine if y varies directly with x, we can check if the ratio of y to x is constant for all data points.
1) 28/8 = 3.5
2) 56/16 = 3.5
3) 70/20 = 3.5
Since the ratio y/x is constant at 3.5 for all data points, y varies directly with x.
Therefore, the equation for the direct variation is y = 3.5x.
For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
x
y
8
28
16
56
20
70
(1 point)
Responses
yes; y = 5x
yes; y = 5 x
yes; y = x + 20
yes; y = x + 20
yes; y = 3.5x
yes; y = 3.5 x
no; y does not vary directly with x
1 answer