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Q : 14     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?


Answers (1)


Given point A(1985,92) and B(1995,97)
Now, we know that 
Slope = m = \frac{y_2-y_1}{x_2-x_1}
m = \frac{97-92}{1995-1985} = \frac{5}{10}= \frac{1}{2}
Therefore, the slope of line AB is  \frac{1}{2}
Now, the equation of the line passing through the point (1985,92) and with slope =  \frac{1}{2}  is given by 
(y-92) = \frac{1}{2}(x-1985)\\ \\ 2y-184 = x-1985\\ x-2y = 1801
Now, in the year 2010 the population is
2010-2y = 1801\\ -2y = -209\\ y = 104.5
Therefore, the population in the year 2010 is 104.5 crore

Posted by

Gautam harsolia

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