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