Question

If y=5x-3, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
(2,5), (-3,-12), (-4,-18)
(-1, -8), (0,-3), (3,12)
(1,4), (7,25), (3,10)
(5, 20), (6,12), (1,9)

Answer 1

Answer: Choice B

(-1,-8), (0,-3), (3,12)

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Explanation:

If we plug in x = 2, then

y = 5x-3

y = 5*2-3

y = 7

Meaning (2,7) is on the function instead of (2,5). So this rules out choice A

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If we plug in x = 1, then

y = 5x-3

y = 5*1-3

y = 2

Allowing us to rule out choice C because (1,2) is on the function instead of (1,4)

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Now let's try x = 5

y = 5x-3

y = 5*5-3

y = 22

Showing (5,22) is on the graph instead of (5,20). We can rule out choice D.

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The only thing left is choice B

Plugging in x = -1 leads to

y = 5x-3

y = 5(-1)-3

y = -8

We see that (-1,-8) is on the graph.

Plugging in x = 0 leads to

y = 5x-3

y = 5(0)-3

y = -3

The point (0,-3) is on the graph

Finally, plug in x = 3

y = 5x-3

y = 5*3-3

y = 12

The point (3,12) is on the graph

The points all mentioned in choice B are on the graph of y = 5x-3, so this confirms choice B as the answer.