Is the relationship between the variables inthe table a direct variation, an inverse variation, both, or neither? If it is a direct or inverse variation write a function to model it

Question

x: 2, 5, 12, 20
y: 30, 12, 5, 3

A. Direct variation: y = 15x
B. Inverse operation: y = 60/x
C. Direct variation: y = 2x + 2
D. Neither

I said neither because it doesn't seem to have a pattern at all.

Answer 1

As one increases, the other decreases. What does that tell you? Check by inserting x to find values of y

Answer 2

Oh so is y = 60/x correct?
Because 60/2 is 30, 60/5 is 12, 60/12 is 5, and 60/20 is 3
So that would fit x: 2, 5, 12, 20, y: 30, 12, 5, 3

Answer 3

I submitted it, it was right.

Answer 4

It does have a pattern. Divide 60 by x
60 / 2 = 30
60 / 5 = 12
60 / 12 = 5
60 / 20 = 3

Therefore the correct answer is B) 60/x

Answer 5

Is the relationship between the variables in the table a direct variation, an inverse variation, both, or neither? If it is a direct or inverse variation write a function to model it
2 5 15 20
20 15 2 2

Answer 6

The relationship between the variables is an inverse variation because as one variable increases, the other variable decreases. The function that models this is:

y = 30/x