Which function rule represents the data in the table below?

Question

X: -2, -1, 0, 1, 2
Y: -20, -15, -10, -5, 0

A) y = x - 10
B) y = 2x - 10
C) y = 0x
D) y = 5x - 10

Answer 1

To determine the correct function rule, let's look at the relationship between X and Y in the table.

When X is -2, Y is -20.
When X is -1, Y is -15.
When X is 0, Y is -10.
When X is 1, Y is -5.
When X is 2, Y is 0.

From this data, we can see that as X increases by 1, Y increases by 5. Therefore, the function rule that represents this relationship is:

D) y = 5x - 10.