The ordered pairs (0, 0), (2, 4), (4, 8), and (6, 12) represent a function. What is the rule for this function?

A. y = x +2
B. y = 3x
C. y = x + 4
D. y = 2x

1 answer

The rule for this function can be determined by examining the pattern in the ordered pairs.

If we divide the second coordinate (y-value) by the first coordinate (x-value), we get a constant ratio of 2.

For example:
(2, 4) => 4/2 = 2
(4, 8) => 8/4 = 2
(6, 12) => 12/6 = 2

Based on this pattern, we can conclude that the rule for this function is:
D. y = 2x