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Mathematics 21 Online
OpenStudy (anonymous):

(Medals!!!!!!!!!!!) Determine whether the relationship is an inverse variation, a direct variation, or neither. Give 2 other ordered pairs that could continue the data set.

OpenStudy (anonymous):

OpenStudy (solomonzelman):

Each time it goes up +12.

OpenStudy (anonymous):

@SolomonZelman So the answer is "Neither" because it has indirect and linear?

OpenStudy (anonymous):

And are you sure, it's the correct answer? @SolomonZelman

OpenStudy (anonymous):

Does it have the two ordered pairs? @SolomonZelman

OpenStudy (solomonzelman):

Well it does have the coordinates, 4y=48x SORRY, it's DIRECT.

OpenStudy (solomonzelman):

Yes it's y=12x

OpenStudy (anonymous):

4y = 48 and y = 12x?

OpenStudy (solomonzelman):

48=(12)4 60=(12)5 72=(12)6 84=(12)7

OpenStudy (solomonzelman):

See?

OpenStudy (anonymous):

So, it's direct and not neither?

OpenStudy (solomonzelman):

No, just DIRECT.

OpenStudy (goldphenoix):

Like he said, it's direct. Use the direct variation formula: k = y/x Feet = y Inches = x If you keep on plugging the number in, k would always be 12. Therefore, it's direct. ^_^

OpenStudy (anonymous):

Direct variation?

OpenStudy (goldphenoix):

Yep!

OpenStudy (anonymous):

But I don't get the ordered pairs thing.

OpenStudy (goldphenoix):

Hmm. We know that k = 12 So: 12 = y/x In other words, 12x = y So pick any x, like 20. 12(20) = y 12 * 20 = ?

OpenStudy (anonymous):

240? @GoldPhenoix

OpenStudy (goldphenoix):

Yep. So you have one ordered pair: (20, 240) Now choose any x and multiply it by 12.

OpenStudy (anonymous):

Um, can you pick any number? @GoldPhenoix

OpenStudy (goldphenoix):

Sure. Hmm. What about 100. 12(100) = ?

OpenStudy (anonymous):

1200

OpenStudy (goldphenoix):

Perfect. You found 2 ordered pairs: (20, 240) and (100, 1200) I hope this help! :)

OpenStudy (anonymous):

@GoldPhenoix Are these pairs correct and it has bigger numbers.

OpenStudy (goldphenoix):

An ordered pairs are any numbers that follow a rule. It can be (1200000000, 14400000000) Yes, that's also an ordered pair.

OpenStudy (goldphenoix):

There's an infinite pairs of that particular question!!! :O

OpenStudy (anonymous):

Okay, so "Direct Variation" + "20, 40 and 100, 1200"?

OpenStudy (goldphenoix):

Direct Variation, yes. (20, 240) and ( 100, 1200)

OpenStudy (anonymous):

Thank you so much @GoldPhenoix! (:

OpenStudy (goldphenoix):

No problem! :)

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