Determine whether y varies directly with x. If​ so, find the constant of variation and write the function rule.

Question

x, y
32, 16
34, 17
38, 19

What is the function​ rule? Select the correct choice and fill in any answer boxes in your choice below.

y=
(Simplify your answer. use fractions .)

Answer 1

To determine if y varies directly with x, we need to check if the ratio of y to x is constant for all values in the table.

32/16 = 2
34/17 = 2
38/19 = 2

Since the ratio is constant (2), y varies directly with x. The constant of variation is 2.

The function rule is y = 2x.