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)
yes; y = 2x
Oyes; y = 0.5x
yes; y = 1.5x
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 remains constant for each pair of values.
Let's calculate the ratio of y to x for each pair of values:
40/32 = 1.25
28/16 = 1.75
16/12 = 1.33
Since the ratio of y to x is not constant for each pair of values, we can conclude that y does not vary directly with x.
Therefore, the correct answer is:
no; y does not vary directly with x.