For the data in the table, does y vary directly with x? If it does, choose an equation for the direct variation.
x y
8 11
16 22
24 33
(1 point)
a. yes; y = 2.75x
b. yes; y = 0.6875x
c. yes; y = 1.375x
d. no; y does not vary directly with x
To determine if y varies directly with x, we need to check if the ratio of y to x is constant for all values in the table.
For the first row, y/x = 11/8 = 1.375
For the second row, y/x = 22/16 = 1.375
For the third row, y/x = 33/24 = 1.375
Since the ratio is constant for all rows, y varies directly with x.
Therefore, the equation for the direct variation is:
c. yes; y = 1.375x