Life applications of Direct proportion

Life applications of Direct proportion

Didn't we plan to look at the life applications of direct proportion today?

For that, let's take the same table we took yesterday for direct ratio

Numerator	1	2	3	4	5	6	7	8	9	10
Denominator	4	8	12	16	20	24	28	32	36	40

Although the table above looks like a table of numerator and denominator, we can relate it to our daily life in many ways.

How do you relate?

Shall we write 'number of pens' in the place of numerator and 'price of pens' in the place of denominator?

Number of Pens	1	2	3	4	5	6	7	8	9	10
Cost of Pens	4	8	12	16	20	24	28	32	36	40

Now the table we have created has got relevance to daily life?

But does the table only refer to equivalent fractions? Are there direct proportions? This is how direct proportion becomes relevant to everyday life.

Could you consider the numerator as the number of books, the number of soaps, the number of chocolates, or any number of your favorite items? Similarly can the price be considered as the price for the number of related things?

And we have taken the table based on the fourth table. Can we make such a table with any number like fifth table, sixth table, seventh table or any other number?

When you think about it like this, the direct proportion is related to practical life in many ways, isn't it!

The question must have come to you at this time that how do they create maths sums related to direct proportion?

Let us take the table above. Let us assume that the price of 6 pens is unknown. Let us take the unknown value by the variable x itself. How would our table have changed now? Is it like this?

Number of Pens	1	2	3	4	5	6	7	8	9	10
Cost of Pens	4	8	12	16	20	x	28	32	36	40

Now how the maths sum is set up is take the 2 pen count and its price is 8. Also take the number of 6 pens and the variable x which we have kept as its price.

Number of Pens	1	2	3	4	5	6	7	8	9	10
Cost of Pens	4	8	12	16	20	x	28	32	36	40

The maths sum for this is set up as follows.

If the cost of two pens is Rs.8, find the cost of 6 pens.

How to find the answer to this?

Do we know the mathematical truth about direct proportion? That is, its equal fractions should be equalized and multiplied across.

Accordingly we shall take the fraction i.e. the Number of pens / Cost of pens shall we not?

So taken 2 / 8 is a ratio or a fraction.

Similarly 6 / x is a ratio or a fraction.

Shouldn't these two be equated?

Equating and multiplying across 2 / 8 = 6 / x,

2 × x = 6 × 8 doesn't it!

2 × x = 48

x = 48 / 2

x = 24 wouldn't it!

That means the cost of 6 pens is 24 rupees.

It is also under 6 in the table. So the answer we found is correct or not? I think now you have a better understanding of how direct proportion sums are set up.

Now you have to create the tables yourself. Similarly, try creating various sums related to direct proportion and finding answers.

What's the next thing to know about similarly inverse proportion? Will we know about tomorrow?

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