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
Men in no	12	12.5	13	13.2	13.5
Women in no	11.3	11.9	13	13.6	12.8

Answer 1

Hint: We need to plot the graphs for the given tables. We start to solve the two questions by identifying the variables of the graph. Then, determine the scale of the graph and plot the points given in the question on the respective axis to get the required result.

Complete step by step solution:
The graph is a diagram that represents variation of a single with respect to other variables. It represents data in an organised manner.
A cartesian plane is a graph with one x-axis and one y-axis. The origin is the center of the graph. The points on the plane are matched with a pair of numbers located on x-axis and y-axis respectively.
In the cartesian plane, the numbers on the right of zero are positive and to the left are negative on the x-axis. The numbers below zero are negative and above are positive on the y-axis.
According to our question, we will need to plot a graph of the first table.
We start to draw a graph by plotting the values of years on x-axis and the values of days on y-axis.
Scale:
On x-axis,
$\Rightarrow$ 1cm = 0.5 units
On y-axis,
$\Rightarrow$ 1 cm = 2 units

Plotting the graph for the table 2,
We draw a graph by plotting the values of years on x-axis and the values of days on y-axis.
Scale:
On x-axis,
$\Rightarrow$ 1cm = 0.5 units
On y-axis,
$\Rightarrow$ 1 cm = 2 units

The blue line in the above graph represents the number of women
The orange line in the above graph represents the number of men
The upper data value corresponds to orange line and lower data value corresponds to blue line

Note: To plot a point on a graph,
1. Locate its position on x-axis
2. Locate its position on y-axis.
3. Mark the point where the positions on both axes meet.
We need to plot the points on the graph precisely to demonstrate the relationship between the numerical values on x-axis and y-axis.