Question

If y − 3 = 3x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

Answer 1

{(3,0),(6,1),(9,2)} because
when you plug in the values you get 
3-3=3(0)   =     0=0 

6-3=3(1)    =     3=3

9-3=3(2)   =     6=6

Answer 2

Answer:

${(0, 3), (1, 6), (2, 9)}$

Step-by-step explanation:

we have

$y-3=3x$

we know that

If the set represents possible inputs and outputs of the function, then all ordered pairs of the set must be satisfy the function

Let's verify all the cases to determine the solution to the problem

case A) ${(0, 3), (1, 6), (2, 9)}$

Verify first pair

$(3)-3=3*(0)$

$0=0$ ------> is true

Verify second pair

$(6)-3=3*(1)$

$3=3$ ------> is true

Verify third pair

$(9)-3=3*(2)$

$6=6$ ------> is true

therefore

The set ${(0, 3), (1, 6), (2, 9)}$ represent possible inputs and outputs of the function

case B) ${(3, 0), (6, 1), (9, 2)}$

Verify first pair

$(0)-3=3*(3)$

$-3=9$ ------> is not true

it is not necessary to verify the other pairs, because the first one does not meet the requirements.

therefore

The set ${(3, 0), (6, 1), (9, 2)}$ does not represent possible inputs and outputs of the function

case C) ${(1, 3), (2, 6), (3, 9)}$

Verify first pair

$(3)-3=3*(1)$

$0=3$ ------> is not true

it is not necessary to verify the other pairs, because the first one does not meet the requirements.

therefore

The set ${(1, 3), (2, 6), (3, 9)}$ does not represent possible inputs and outputs of the function

case D) ${(3, 1), (6, 2), (9, 3)}$

Verify first pair

$(1)-3=3*(3)$

$-2=9$ ------> is not true

it is not necessary to verify the other pairs, because the first one does not meet the requirements.

therefore

The set${(3, 1), (6, 2), (9, 3)}$ does not represent possible inputs and outputs of the function