Which is the direct proportion? Which is the inverse proportion? Let's find out!

Which is the direct proportion? Which is the inverse proportion? Let's find out!

If we want to bring the changes in life phenomena into mathematics, we have to use direct and inverse proportion.

When we classify the changes in the two phases of life on the basis of increase and decrease, we can classify them into four categories.

1. A change caused by an increase in one condition causes an increase in another condition.

2. A change resulting from a decrease in one variable causes a decrease in another variable.

3. A change resulting from an increase in one variable causes a decrease in another variable.

4. A change in a decrease in one variable causes an increase in another variable.

The first two types of events are directly proportional. The last two types of phenomena depend on the inverse proportion. Are you saying that this is all we have seen?

Yes, we learnt it. When we consider an event caused by two variables we need to know whether it is directly proportional or inversely proportional. Only if we know that we can do the calculation correctly with direct proportion or inverse proportion.

Shouldn't a calculation that should be done with a direct proportion be done with an inverse proportion, or a calculation that should be done with an inverse proportion be done with a direct proportion! Doing so will result in incorrect calculations. That's why I keep repeating the same thing some more times.

Now let's see if we can find out if we are given two variables for a given event and whether it is direct proportional or inverse proportional?

1.      Number of items and their cost

2.      The side measures of a shape and the perimeter

3.      Distance and travel time

4.      Income and Expenditure

5.      Hours of Work and Wages

6.      Workers and days

7.      Speed ​​and duration

8.      Price and consumption

9.      Filling pipes and filling time

10.  Species and store food

What do you mean you have given so much? Why is that? Do you know the basics of proportionality and inverse proportion? I have said it repeatedly!

I hear you say here I have found it. You found it right. The first five cases are directly proportional. The last five are inverse proportional. Do you want to explain how? But let's look at the explanation of proportionality and inverse proportion to know it!

1.	Number of items and their cost	As the number increases, so does the price. Similarly, if the number decreases, the price will also decrease.	Hence direct proportion.
2.	The side measures of a shape and the perimeter	As the side measures increase, so does the perimeter. Similarly, as the side dimensions decrease, the perimeter also decreases.	Hence direct proportion.
3.	Distance and travel time	As distance increases, travel time also increases. Similarly, if the distance is reduced, the travel time will also be reduced.	Hence direct proportion.
4.	Income and Expenditure	As income increases, expenditure increases. Likewise, if the income decreases, the cost will also decrease.	Hence direct proportion.
5.	Hours of Work and Wages	As working hours increase, wages also increase. Similarly, if the working hours are reduced, the wages will also be reduced.	Hence direct proportion.
6.	Workers and days	As workers increase, working days decrease. Fewer workers mean more working days.	Hence inverse proportion.
7.	Speed ​​and duration	Travel time decreases as speed increases. Slower speed increases travel time.	Hence inverse proportion.
8.	Price and consumption	If the price of goods increases, their consumption will decrease. If the price of goods falls, consumption will increase.	Hence inverse proportion.
9.	Filling pipes and filling time	If the number of filling pipes is increased, the filling time will decrease. Fewer filling tubes will increase filling time.	Hence inverse proportion.
10.	Species and store food	As species increase, food reserves decrease. As species decline, food reserves increase.	Hence inverse proportion.

It is not an exaggeration to say that such a big explanation is because you should not make any small mistakes while doing the calculations in direct proportion and inverse proportion calculations.

Let's look at some calculations tomorrow.

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