Question

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

• A. $102$ crores
• B. $103.5$ crores
• C. $104.5$ crore
• D. $105.5$ crores

Answer 1

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
$\frac{97-92}{1995-1985}=\frac{5}{10}=\frac{1}{2}$

Let $y$ be the population in the year $2010$
So, the line $AB$ passes through $C(2010,y)$,
$\therefore$ Slope of $AB=$ Slope of $BC$
$\Rightarrow \frac{1}{2}=\frac{y-97}{2010-1995}\Rightarrow \frac{1}{2}=\frac{y-97}{15}\Rightarrow \frac{15}{2}=y-97\Rightarrow y-97=7.5\Rightarrow y=7.5+97=104.5$

Thus, the population in $2010$ is $104.5$ crores.