Question

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

A. {(0, 3), (1, 6), (2, 9)}
B. {(3, 0), (6, 1), (9, 2)}
C. {(1, 3), (2, 6), (3, 9)}
D. {(3, 1), (6, 2), (9, 3)}

Answer 1

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

Explanation:

All you have to do is substitute them

A.

y − 3 = 3x

3 - 3 = 3 (0)

0 = 0

y − 3 = 3x

6 - 3 = 3 (1)

3 = 3

y - 3 = 3x

9 - 3 = 3 (2)

6 = 6

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B.

y - 3 = 3x

0 - 3 = 3(3)

-3 = 6

You can tell that this one can't be one of the answer which means that B wont be the answer, so you don't have to do anymore work for this one.

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C.

y - 3 = 3x

3 - 3 = 3(1)

0 = 3

This one can't be an answer either

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D.

y - 3 = 3x

1 - 3 = 3(1)

-2 = 3

And this one can't be an answer either

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This concludes, that A will be the answer here since all of the ordered pair can be x and y when you use the inputs and outputs that were given.

Hope this helped!