Advertisements
Advertisements
Question
Plot a line graph for the variables p and q where p is two times q i.e, the equation is p = 2q. Then find.
- the value of p when q = 3
- the value of q when p = 8
Advertisements
Solution
Given, equation is p = 2q
If p = 2, then q = `p/2 = 2/2` = 1
If p = 4, then q = `p/2 = 4/2` = 2
If p = 6, then q = `p/2 = 6/2` = 3
If p = 8, then q = `p/2 = 8/2` = 4
Hence, table for the graph
| p | 2 | 4 | 6 | 8 |
| q | 1 | 2 | 3 | 4 |

- When q = 3, the value of p is 6.
- When p = 8, the value of q is 4.
APPEARS IN
RELATED QUESTIONS
The following graph shows the temperature of a patient in a hospital, recorded every hour.

- What was the patient’s temperature at 1 p.m.?
- When was the patient’s temperature 38.5°C?
- The patient’s temperature was the same two times during the period given. What were these two times?
- What was the temperature at 1.30 p.m.? How did you arrive at your answer?
- During which periods did the patients’ temperature showed an upward trend?
The following graph shows the temperature forecast and the actual temperature for each day of a week.

- On which days was the forecast temperature the same as the actual temperature?
- What was the maximum forecast temperature during the week?
- What was the minimum actual temperature during the week?
- On which day did the actual temperature differ the most from the forecast temperature?
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 |
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 |
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 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 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.

Study the given graph and complete the corresponding table below.

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.

