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
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.
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.
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:
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 |
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 line graph can also be a whole unbroken line.
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.