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;
[tex]y = 3x + c[/tex]
We put x=1 and y=3 to obtain,
[tex]3 = 3(1) + c[/tex]
[tex]c = 3 - 3 = 0[/tex]
The rule is
[tex]y = 3x[/tex]