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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. - Mathematics

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प्रश्न

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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उत्तर

The graph shown is a line.

\[\therefore \text { Slope of AB } = \frac{97 - 92}{1995 - 1985} = \frac{5}{10} = \frac{1}{2}\]

The points AB 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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अध्याय 23: The straight lines - Exercise 23.1 [पृष्ठ १३]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 23 The straight lines
Exercise 23.1 | Q 14 | पृष्ठ १३

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