sydneyvitagliano
sydneyvitagliano sydneyvitagliano
  • 11-03-2019
  • Mathematics
contestada

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

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 21-03-2019

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]

Answer Link

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