For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.

Question

x y
32 24
16 8
8 6

(1 point)
Responses

a. yes; y = 0.5x

b. yes; y = 2x

c. yes; y = 1.5x

d. no; y does not vary directly with x.

Answer 1

To determine if y varies directly with x, we need to check if the ratio of y to x remains constant.

Let's calculate the ratios for the given data:
24/32 = 0.75
8/16 = 0.5
6/8 = 0.75

Since the ratios are not constant, y does not vary directly with x.

Therefore, the correct answer is:
d. no; y does not vary directly with x.