Advertisements
Advertisements
Question
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.
Advertisements
Solution
Here, years is an independent variable and the number of patients is a dependent variable. So, we take years on the x-axis and the number of patients on the y-axis.
Let us choose the following scale:
On x-axis: 2 cm = 1 year
On y-axis: 1 cm = 10 patients
Also, let us assume that on the x-axis, origin (O) represents 2001 and on the y-axis, origin (O) represents 120, i.e. O (2001, 120).
Now, let us plot (2002, 150), (2003, 170), (2004, 195), (2005, 225), (2006, 230). These points are joined to get the graph representing the given information as shown in the figure below.
APPEARS IN
RELATED QUESTIONS
Use the tables below to draw linear graphs.
The number of days a hill side city received snow in different years.
| Year | 2003 | 2004 | 2005 | 2006 |
| Days | 8 | 10 | 5 | 12 |
A courier-person cycles from a town to a neighboring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph.
- What is the scale taken for the time axis?
- How much time did the person take for the travel?
- How far is the place of the merchant from the town?
- Did the person stop on his way? Explain.
- During which period did he ride fastest?
Draw the temperature-time graph in each of the following cases:
| 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 |
Draw the temperature-time graph in each of the following cases:
| 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 |
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 |
Draw the graph representing the above data in two different ways as a graph and as a bar chart.
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.
Which graphs of the following represent the table below?
| Length of Side of a Square | 1 | 2 | 3 | 4 | 5 |
| Perimeter | 4 | 8 | 12 | 16 | 20 |
A line graph can also be a whole unbroken line.
The following graph shows the change in temperature of a block of ice when heated. Use the graph to answer the following questions:
- For how many seconds did the ice block have no change in temperature?
- For how long was there a change in temperature?
- After how many seconds of heating did the temperature become constant at 0°C?
- What was the temperature after 25 seconds?
- What will be the temperature after 1.5 minutes? Justify your answer.
