Advertisements
Advertisements
Question
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 |
Solution
Here, time is an independent variable and temperature is a dependent variable. So, we take time on the x-axis and temperature on the y-axis.
Let us choose the following scale:
For point (ii):
On x-axis: 2 cm = 2 hours
On y-axis: 1 cm = 1οF
Let us assume that on the x-axis, the coordinate of origin is 6:00.
On y-axis, the coordinate of origin is 94οF .
So, the coordinates of O are (6:00, 94).
Now, let us plot (7:00, 100), (9:00, 101), (11:00, 104),..(21:00, 98) for point (i) and (8:00, 100), (10:00, 101), (12:00, 104),...,(20:00, 100) for point (ii). These points are joined to get the graphs representing the given information as shown in the figures below.
APPEARS IN
RELATED QUESTIONS
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph.
- How high was Plant A after (i) 2 weeks (ii) 3 weeks?
- How high was Plant B after (i) 2 weeks (ii) 3 weeks?
- How much did Plant A grow during the 3rd week?
- How much did Plant B grow from the end of the 2nd week to the end of the 3rd week?
- During which week did Plant A grow most?
- During which week did Plant B grow least?
- Were the two plants of the same height during any week shown here? Specify.
Use the tables below to draw linear graphs.
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 |
Can there be a time-temperature graph as follows? Justify your answer.
Can there be a time-temperature graph as follows? Justify your answer.
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.
A graph that displays data that changes continuously over periods of time is ______.
Study the given graph and complete the corresponding table below.
As part of his science project, Prithvi was supposed to record the temperature every hour one Saturday from 6 am to midnight. At noon, he was taking lunch and forgot to record the temperature. At 8:00 pm, his favourite show came on and so forgot again. He recorded the data so collected on a graph sheet as shown below.
- Why does it make sense to connect the points in this situation?
- Describe the overall trend, or pattern, in the way the temperature changes over the time period shown on the graph.
- Estimate the temperature at noon and 8 pm.
