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Question
Consider the following population and year graph:
Find the slope of the line AB and using it, find what will be the population in the year 2010.
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Solution
The graph shown is a line.
\[\therefore \text { Slope of AB } = \frac{97 - 92}{1995 - 1985} = \frac{5}{10} = \frac{1}{2}\]
The points A, B and C lie on the same line.
\[\therefore \text { Slope of BC = Slope of AB }\]
\[ \Rightarrow \frac{P - 97}{2010 - 1995} = \frac{1}{2}\]
\[ \Rightarrow P - 97 = \frac{2010 - 1995}{2}\]
\[ \Rightarrow P = 97 + 7 . 5\]
\[ \Rightarrow P = 104 . 5\]
Hence, the population in the year 2010 was 104.50 crores.
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