Which kind of function best models the data in the table. use differences or ratios. x | y -3 11.5 -2 7 -1 3.5 0 1 1 -.5 2 -1 (linear, quadratic, exponential or none)

This is a quadratic relationship.

The first differences would be as follows:
11.5 - 7 = 4.5
7 - 3.5 = 3.5
3.5 - 1 = 2.5
1 - -0.5 = 1.5
-0.5 - - 1 = 0.5

Since they are not the same, it is not linear.

The second differences would be:
4.5 - 3.5 = 1
3.5 - 2.5 = 1
2.5 - 1.5 = 1
1.5 - 0.5 = 1

Since the second differences are the same, it is a quadratic relationship.

C. expression because any expression or equation may contain more than one variable

It will take him 5 days