For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
X
8
y
13
16
26
24
39
(1 point)
yes; y = 5x
yes; y = 10x
yes; y = 1.625x
no; y does not vary directly with x.
To determine if y varies directly with x, we can check if the ratio of y to x is constant for all pairs of values.
Calculating the ratio y/x for each pair of values:
13/8 ≈ 1.63
16/8 = 2
26/8 ≈ 3.25
24/8 = 3
39/8 ≈ 4.88
Since the ratio is not constant, y does not vary directly with x.
Therefore, the correct answer is:
no; y does not vary directly with x.