00:00Friends, today we're on the topic of inverse proportion, one of the types of proportions.
00:04What is inverse proportionality?
00:05If, as one of two quantities increases, the other decreases at the same rate.
00:33What are these two quantities, friends?
00:40It is said that they are inversely proportional.
00:49Friends, two quantities that are inversely proportional
01:02why?
01:03The multiplier is constant.
01:09So what does this mean, folks?
01:10As one increases, the other will decrease.
01:12Okay, let's say y and x are inversely proportional.
01:15Let's take two examples.
01:17If y and x are inversely proportional
01:23The ratio y times xk is equal to our constant or
01:29We can say that our y is equal to k divided by x.
01:35Friends, this is the graph of y equals k divided by x.
01:44What?
01:45Before passing.
01:46Let's create this table.
01:49x, y.
01:50Now, when we say x is 1
01:52What will happen to our 'y', friends?
01:54k will be.
01:55For example, let's say x is 2.
01:57Our y will be k divided by 2.
01:59When we say x is 3
02:01Our y is k divided by 3.
02:04We can take it.
02:05This is how our table looks, folks.
02:07Now
02:11when we move on to our graph
02:17x, y.
02:19Our starting point.
02:20Friends, our 'k' must be greater than 0.
02:26How do we draw our graph?
02:27I'm replacing x with 1, 2, 3.
02:31In this case, x is 1.
02:34What will our 'y' be, friends?
02:35k will happen.
02:36Isn't it?
02:39If x is 2, then y is k divided by 2.
02:41It's getting smaller.
02:43See, they're inversely proportional.
02:44When x is 3, our y is k divided by 3.
02:48So what does that mean?
02:49k.
02:52k divided by 2.
02:57k divided by 3.
03:00So, how does our graph look, guys?
03:02Friends, it's like this:
03:06It has an inversely proportional graph.
03:08Yes.
03:09Here, y equals.
03:12We call it the graph of k divided by x.
03:15After my friends did this
03:16I'd like to give an example.
03:46x's
03:49And we say x equals b times y, which equals c times z, which equals k.
04:01And also, friends, the numbers xyz are inversely proportional to the numbers abc, respectively.
04:33So what is it, friends? This time it's directly proportional to the numbers 1/a, 1/b, and 1/c.
04:53So, friends, what is it? It's a times x, right? That's how it was here. a times x equals b times y.
05:02We say it equals c times z.
05:04More precisely, we say "only" because these two things ensure this mutually.
05:08x divided by 1 divided by a is equal to y divided by 1 divided by b is equal to z divided by 1 divided by
05:17We say it's C.
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