NCERT Class XI Mathematics - Straight Lines - Solutions

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Question : 14
Total: 74
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?

Solution:  
Slope of line AB =
9792
19951985
=
1
2

Let the population in year 2010 is y, and co-ordinate of C is (2010, y) then, slope of AB = slope of BC
1
2
= y
97
20101995
1
2
=
y97
15

⇒ 15 = 2y – 194 ⇒ 2y = 209 ⇒ y = 104.5
Hence, the population in year 2010 will be 104.5 crores.
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