00:00If the numbers ABC are inversely proportional to the numbers 1, 2, and 3 respectively, let's find which numbers are directly proportional to ABC.
00:07So, what are the friends like now?
00:08Region 1 is inversely proportional to 2 A, 2 to B, and 3 to C.
00:16If it's inversely proportional, that's how we write it, right guys?
00:19That also equalized our proportionality constant K.
00:21Now, guys, this is the inverse proportional part.
00:24How do we find which numbers are directly proportional to the numbers ABC?
00:27In this case, let me write it like this: first, A divided by 2 equals 2 times B, which equals 3 times C.
00:34As you can see, this is equal to the proportionality constant K, which is 2.
00:38Isn't it like this, with 2, guys?
00:40They are directly proportional, but B and C are inversely proportional to 2 and 3.
00:44So, what will friends 2 and 3 do?
00:47Of course you'll get the second one.
00:49What is 2 times 3? 6.
00:50We're going to divide by 6 so that we can find a common divisor, right?
00:53And we'll also divide each side by 6.
01:00Will our proportionality constant K change then?
01:03No, it won't change.
01:04Because we divided each side into 6, folks.
01:07What will happen in this situation?
01:08A divided by 12 equals 2, which only gives 1 or 3; B divided by 3 equals 3, which only gives 1 or 2.
01:17We'll say C divided by 2.
01:19That, we'll call the proportionality constant K, folks.
01:22In this case, A will be directly proportional to 12, B to 3, and C to 2.
01:28So what are A, B, and C respectively?
01:34A divided by B divided by C is also equal.
01:38We can write it as 12 divided by 3 divided by 2, right guys?
01:42It will be directly proportional.
01:49With these numbers, in order.
01:50Thank you for watching.
01:50Goodbye.
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