To determine if y varies directly with x, we need to check if the ratio between y and x is constant for all values in the table. Let's calculate the ratios for the given values:
For x = 2, y = 10, ratio = y/x = 10/2 = 5
For x = 4, y = 20, ratio = y/x = 20/4 = 5
For x = 6, y = 30, ratio = y/x = 30/6 = 5
Since the ratio is constant and equal to 5 for all values of x, we can conclude that y varies directly with x. The correct equation for the direct variation is:
a. yes; y = 5x
For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
a. yes; y = 5x
b. yes; y = 10x
c. yes; y = 1.625x
d. no; y does not vary directly with x.
1 answer