WEBVTT
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Which set of ordered pairs would make the data in the table represent the function π¦ equals two π₯?
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So we have an input row, where five, blank, blank, and 12 as well as an output row of 10, blank, blank, and 24.
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So this table represents the function π¦ equals two π₯.
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And with π¦ equals two π₯, π₯ is the input, the number that we would plug in, and π¦ would be the output, the answer that we would get.
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So essentially, we take the input and multiply it by two and we get the output.
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So with an input of five, five times two gives us 10.
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And then over here with 12, 12 times two gives us 24.
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So again, the π₯-values are the inputs and the π¦-values are the outputs.
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So looking at our options for an answer, we need to look at the π₯- and π¦-values β π₯ being the inputs π¦ being the outputs β and seeing which set works with π¦ equals two π₯.
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So here, weβve highlighted the π₯-values β the inputs β in yellow and the output β the π¦-values β in pink.
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So we will go through each one and see if it satisfies this equation.
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We will begin with seven and 14.
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Is 14 equal to two times seven?
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It is.
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And is 20 equal to two times 10?
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And it is.
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So, so far, it seems like option A is the correct answer.
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But letβs double-check every single option to be safe.
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For option B, is 14 equal to two times seven?
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It is.
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And is 12 equal to two times 10?
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It is not.
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So B is not an option.
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For option C, we have 27 equals two times nine and 30 equals two times 10.
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Those are not correct.
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The π¦-values are actually three times as large as the π₯-values.
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So option C would actually represent π¦ equals three times π₯.
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And again, it is still not the answer.
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Option D is not the answer because nine is not equal to two times seven and 12 is not equal to two times 10.
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For option D, the π¦-values are actually two greater than π₯.
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So we would just need to add two to the π₯-values to get the π¦-values, again not our answer.
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For option E, seven is not equal to two times five; itβs equal to two plus five.
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And 22 is actually equal to two times 11.
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So only one of these ordered pairs works.
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But we need both of them to work.
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So E is not the answer.
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So we had the ordered pair of seven and 14 and the ordered pair of 10 and 20.
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This satisfied the function π¦ equals two π₯.
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So once again, the ordered pairs would be seven, 14 and 10, 20.