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So, we get a table of values as follows:

Time (in hours) 1 2 3 5
Distance covered (in km) 40 80 120 200

Now,
• Select a scale, on horizontal axis, 1 unit = 1 hour, and on vertical axis, 1 unit = 40 km.

• Mark time along horizontal axis and distance covered along vertical axis.

• Plot the points (1, 40), (2, 80), (3, 120), and (5, 200).

• Join the points and obtain the graph as shown below.

Scale: On x-axis, 1 unit = 1 hour
Y
On y-axis, 1 unit = 40 km
200
(5, 200)
Distance covered (in km) 120 (1, 40) (2, 80)
160
Q
(3, 120)

80
P
40

O(0, 0) 1 2 3 4 5 X

Time (in hours)

1
(a) Corresponding to 60 km on the y-axis, we get a point 1 hours on the x-axis. Thus,
2
1
the time required to cover a distance of 60 km is 1 hours.
2

1
(b) Corresponding to 3 hours on the x-axis, we get a point 140 km on the y-axis. Thus,
2
1
in 3 hours time, the distance covered is 140 km.
2

Quick Check

A vehicle travels at a uniform speed of 50 km/h. Plot a graph depicting the relation between distance and time
taken given in the following table.
Time (in h) 0 1 2 3 4
Distance travelled (in km) 0 50 100 150 200
Also, answer the following questions:
1. What will be the distance travelled by the vehicle in 2 hours?
2. What will be the position of vehicle at 3 hours?

325 Introduction to Graphs