Question

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?

Answer 1

AMSWER

C y=3x

EXPLANATION

The given ordered pairs are

(1,3) (2,6) (3,9) (4,12) and (5,15)

There is a constant difference in the y-values.

d=15-12=3

Let the rule that represent the function be

y=dx +c

When we substitute

d=3, we get;

$y = 3x + c$

We put x=1 and y=3 to obtain,

$3 = 3(1) + c$

$c = 3 - 3 = 0$

The rule is

$y = 3x$