Consider the given population and year graph. Find the slope of the line AB and using it, Find what will be the population in the year 2010?

Asked by Pragya Singh | 11 months ago |  58

1 Answer

Solution :-

We know that, the line AB passes through points A (1985, 92) and B (1995, 97),

Its slope will be \( \dfrac{(97 – 92)}{(1995 – 1985)} \)

\( \dfrac{5}{10} \)\( \dfrac{1}{2} \)

Let ‘y’ be the population in the year 2010. Then, according to the given graph, AB must pass through point C (2010, y)

So now, slope of AB = slope of BC

\( \dfrac{1}{2} =\dfrac{y-97}{2010-1995}\)

\( \dfrac{15}{2} \) = y – 97

y = 7.5 + 97 = 104.5

The slope of the line AB is \( \dfrac{1}{2} \), while in the year 2010 the population will be 104.5 crores.

Answered by Abhisek | 11 months ago

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