In order to determine if y varies directly with x, we need to check if the ratio of y to x is always the same. Let's calculate the ratios for each set of values:
y/x = 32/40 = 0.8
y/x = 16/28 = 0.5714
y/x = 12/16 = 0.75
The ratios are not all the same, so y does not vary directly with x. Therefore, the correct answer is:
no; y does not vary directly with x.
For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
x
y
40
32
28
16
16
12
(1 point)
Responses
yes; y = 2x
yes; y = 2 x
yes; y = 0.5x
yes; y = 0.5 x
yes; y = 1.5x
yes; y = 1.5 x
no; y does not vary directly with x.
1 answer