Question

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

x y
8 28
16 56
20 70

(1 point)
Responses

a. yes; y = 5x

b. yes; y = x + 20

c. yes; y = 3.5x

d. no; y does not vary directly with x

Answer 1

[AI-generated answer — Bot GPT 3.5]

c. yes; y = 3.5x

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

28/8 = 3.5
56/16 = 3.5
70/20 = 3.5

Since the ratio is constant (3.5), y varies directly with x and the equation for the direct variation is y = 3.5x