Ex.15.1 Q5 Introduction to Graphs Solutions - NCERT Maths Class 8

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Question

Use the tables below to draw linear graphs.

(a) The number of days a hill side city received snow in different years.

Year

\(2003\)

\(2004\)

\(2005\)

\(2006\)

Days

\(8\)

\(10\)

\(5\)

\(12\)

(b) Population (in thousands) of men and women in a village in different years.

Year

\(2003\)

\(2004\)

\(2005\)

\(2006\)

\(2007\)

Number of men

\(12\)

\(12.5\)

\(13\)

\(13.2\)

\(13.5\)

Number of Women

\(11.3\)

\(11.9\)

\(13\)

\(13.6\)

\(12.8\)

Text Solution

Reasoning:

(a) Considering ‘Years’ on horizontal axis and ‘Days’ on vertical axis starting from origin i.e. (\(0,0\)).

(b) Considering ‘Years’ on horizontal axis and ‘Number of persons (i.e. ‘Men’ or ‘Women’) on vertical axis starting from origin i.e. (\(0,0\)). Represent ‘Number of men’ as a straight continuous line where as ‘Number of Women’ as a discontinuous straight line ( dashed line).

Steps:

(a) By taking the years on \(x\)-axis and the number of days on \(y\)-axis and taking scale as \(1\) unit \(= 2\) days on \(y\)-axis and \(2\) unit \(= 1\) year on \(x\)-axis, the linear graph of the given information can be drawn as follows.

(b) By taking the years on \(x\)-axis and population on \(y\)-axis and scale as \(1\) unit \(= 0.5\) thousand on \(y\)-axis and \(2\) unit \(=\)\(1\) year on \(x\)-axis, the linear graph of the given information can be drawn as follows.

  
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