The ordered pairs (1, 3), (2, 6), (3, 9), (4, 12) and (5, 15) represent a function. What is a rule that represents this function? a: y=x^3 b: y = 3^x c: y=3x d: y = x+3

Answer: option c: y = 3x

Justification:

All the ordered pairs meet that the second number of the pair equal 3 times the first number of the pair:

Here is the proof:

Pair first number times 3 second number of the pair

(1, 3) 3 * 1 = 3 3 = > check

(2,6) 2 * 3 = 6 6 = > check

(3,9) 3 * 3 = 9 9 = > check

(4,12) 3 * 4 = 12 12 = > check

(5, 15) 3 * 5 = 15 15 = > check.

So, all the pairs meet the rule y = 3x