For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
x: 40, 28, 16
y: 32, 16, 12
(1 point)
a. yes; y = 5x
b. yes; y = 10x
c. yes; y = 1.625x
d. 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 is constant for all the data points.
For the first data point (40, 32), the ratio is 32/40 = 0.8.
For the second data point (28, 16), the ratio is 16/28 = 0.57.
For the third data point (16, 12), the ratio is 12/16 = 0.75.
Since the ratios are not constant, y does not vary directly with x.
The correct answer is d. no; y does not vary directly with x.