Book: RD Sharma - Mathematics
Chapter: 27. Introduction to Graphs
Subject: Maths - Class 8th
Q. No. 3 of Exercise 27.2
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The following table gives the information regarding the number of persons employed to a piece of work and time taken to complete the work:
Number of persons: | 2 | 4 | 6 | 8 |
Time taken (in days): | 12 | 6 | 4 | 3 |
Plot a graph of this information.
Here, we take the number of persons on the x-axis and time taken on the y-axis.
Let us choose the following scale:
On x-axis: 1 cm = 1 person
On y-axis: 1 cm = 1 day
Now, let us plot (2, 12), (4, 6), (6, 4), (8, 3). These points are joined to get the graph representing the given information as shown in the figure below.
Scale:
On x axis: 1cm = 1 person
On y-axis: 1 cm = 1 day
Chapter Exercises
More Exercise Questions
The following table shows the number of patients discharged from a hospital with HIV diagnosis in different years:
Years: | 2002 | 2003 | 2004 | 2005 | 2006 |
Number of patients: | 150 | 170 | 195 | 225 | 230 |
Represent this information by a graph.
The following table shows the amount of rice grown by a farmer in different years:
Years: | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 |
Rice grown (in quintals): | 200 | 180 | 240 | 260 | 250 | 200 | 270 |
Plot a graph to illustrate this information.
The following table gives the information regarding the number of persons employed to a piece of work and time taken to complete the work:
Number of persons: | 2 | 4 | 6 | 8 |
Time taken (in days): | 12 | 6 | 4 | 3 |
Plot a graph of this information.
The following table gives the information regarding length of a side of a square and its area
Length of a side (in cm) | 1 | 2 | 3 | 4 | 5 |
Area of square (in cm2) | 1 | 4 | 9 | 16 | 25 |
Draw a graph to illustrate this information.
The following table shows the sales of a commodity during the years 2000 to 2006.
Years | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 |
Sales (in lakhs of Rs.) | 1.5 | 1.8 | 2.4 | 3.2 | 5.4 | 7.8 | 8.6 |
Draw a graph of this information.
Draw the temperature-time graph in each of the following cases:
(i)
Time (in hours) | 7:00 | 9:00 | 11:00 | 13:00 | 15:00 | 17.00 | 19:00 | 21:00 |
Temperature (°F) in | 100 | 101 | 104 | 102 | 100 | 99 | 100 | 98 |
(ii)
Time (in hours) | 8:00 | 10:00 | 12:00 | 14:00 | 16:00 | 18:00 | 20:00 |
Temperature (°F) in | 100 | 101 | 104 | 103 | 99 | 98 | 100 |
Draw the velocity-time graph from the following data :
Time (in hours) | 7:00 | 8:00 | 9:00 | 10:00 | 11:00 | 12.00 | 13:00 | 14:00 |
Speed (in km/hr) | 30 | 45 | 60 | 50 | 70 | 50 | 40 | 45 |
The runs scored by a cricket team in first 15 overs are given below :
Overs : | I | II | III | IV | V | VI | VII | VIII | IX | X | XI | XII | XIII | XIV | XV |
Runs : | 2 | 1 | 4 | 2 | 6 | 8 | 10 | 21 | 5 | 8 | 3 | 2 | 6 | 8 | 12 |
The runs scored by two teams A and B in first 10 overs are given below :
Overs | I | II | III | IV | V | VI | VII | VIII | IX | X |
Team A : | 2 | 1 | 8 | 9 | 4 | 5 | 6 | 10 | 6 | 2 |
Team B : | 5 | 6 | 2 | 10 | 5 | 6 | 3 | 4 | 8 | 10 |
Draw a graph depicting the data, making the graphs on the same axes in each case in two different ways as a graph and as a bar chart.