To determine if y varies directly with x, we need to check if the ratio between y and x is constant.
Let's calculate the ratios for each pair of values:
For x = 8 and y = 13: 13/8 = 1.625
For x = 16 and y = 26: 26/16 = 1.625
For x = 24 and y = 39: 39/24 = 1.625
Since the ratio between y and x is constant (1.625), we can conclude that y varies directly with x.
The equation for direct variation is y = kx, where k is the constant of variation. In this case, since the ratio is 1.625, the equation for direct variation is:
yes; y = 1.625x
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
13
16
26
24
39
(1 point)
Responses
yes; y = 5x
yes; y = 5 x
yes; y = 10x
yes; y = 10 x
yes; y = 1.625x
yes; y = 1.625 x
no; y does not vary directly with x.
1 answer
78 answers