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Question

Consider the graph of population (in crores) vs year as shown below. Then the population in year 2010 is


A
102 crores
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B
103.5 crores
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C
104.5 crore
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D
105.5 crores
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Solution

The correct option is C 104.5 crore
Since, the line AB passes through points A(1985,92) and B(1995,97), its slope is
979219951985=510=12

Let y be the population in the year 2010
So, the line AB passes through C(2010,y),
Slope of AB= Slope of BC
12=y972010199512=y9715152=y97y97=7.5y=7.5+97=104.5

Thus, the population in 2010 is 104.5 crores.

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