# Consider the following population and year graph (Fig 10.10), find the slope of the line AB and using it, find what will be the population in the year 2010?

**Solution:**

Since line AB passes through points A(1985, 92) and B (1995, 97), its slope is

(97 - 92)/(1995 - 1985) = 5/10 = 1/2

Let y be the population in the year 2010.

Then, according to the given graph, line AB must pass through point C (2010, y).

Therefore, Slope of AB = Slope of BC

1/2 = (y - 97)/(2010 - 1995)

1/2 = (y - 97)/15

15/2 = (y - 97)

y = 7.5 + 97

y = 104.5

Thus, the slope of line AB is 1/2, while in the year 2010, the population will be 104.5 crores

NCERT Solutions Class 11 Maths Chapter 10 Exercise 10.1 Question 14

## Consider the following population and year graph (Fig 10.10), find the slope of the line AB and using it, find what will be the population in the year 2010?

**Summary:**

Considering the given population and year graph (Fig 10.10), the slope of the line AB is 1/2 and using it, the population in the year 2010 is 104.5 crores