Question

Consider the given population and year graph. Find the slope of the line AB and using it, find what will be the population in the year 2010?

Answer 1

Given:

From the graph:
Point A = (1985, 92)
Point B = (1995, 97)

Here, x-axis represents Years and y-axis represents Population (in crores).

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Step 1: Find the slope of line AB

Slope (m) = (y₂ − y₁) / (x₂ − x₁)

m = (97 − 92) / (1995 − 1985)

m = 5 / 10

m = 0.5

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Step 2: Find the equation of the line

Using point–slope form with point A (1985, 92):

y − 92 = 0.5(x − 1985)

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Step 3: Find population in the year 2010

Substitute x = 2010:

y − 92 = 0.5(2010 − 1985)

y − 92 = 0.5 × 25

y − 92 = 12.5

y = 104.5

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Final Answers:

Slope of line AB = 0.5

Estimated population in the year 2010 = 104.5 crores