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When a word problem talks about two things being "proportional", this is what they're talking about. Or maybe they're "inversely proportional". "Joint" variation just refers to when you have three things that are proportional or inversely proportional instead of just the two, which is basically just ratios in disguise.

Direct & Inverse Variation: Two Variables

These two types of problems always involve two letters (usually x and y) and usually start the same way: if the problem has the words "varies directly" in it (or says two things are "proportional"), you just write down "y=kx" and start plug-and-chugging. If the problem says "varies inversely" (or variables are "inversely proportional"), you write down y=k/x and start plug-and-chugging. Sound too easy? What can I say: the same four steps will get you through every one of these things.

Joint Variation: Three or More Variables

These problems are exactly like the problems in the previous video, except instead of 2 variables there are three or four. Either way, same series of steps! "Directly" will still mean multiply, and "inversely" will still mean divide, and "plug and chug" will still be in your future. CAUTION: this video won't make a ton of sense unless you watch the one before it, so I'd recommend that first.

This video appears on the page: Variation – Joint & Inverse
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