English

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
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.

  1. the value of p when q = 3
  2. the value of q when p = 8
Graph
Sum
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

  1. When q = 3, the value of p is 6.
  2. When p = 8, the value of q is 4.
shaalaa.com
  Is there an error in this question or solution?
Chapter 12: Introduct To Graphs - Exercise [Page 384]

APPEARS IN

NCERT Exemplar Mathematics Exemplar [English] Class 8
Chapter 12 Introduct To Graphs
Exercise | Q 56. | Page 384

RELATED QUESTIONS

The following graph shows the temperature of a patient in a hospital, recorded every hour.

  1. What was the patient’s temperature at 1 p.m.?
  2. When was the patient’s temperature 38.5°C?
  3. The patient’s temperature was the same two times during the period given. What were these two times?
  4. What was the temperature at 1.30 p.m.? How did you arrive at your answer?
  5. 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.

  1. On which days was the forecast temperature the same as the actual temperature?
  2. What was the maximum forecast temperature during the week?
  3. What was the minimum actual temperature during the week?
  4. 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.


The given graph describes the distances of a car from a city P at different times when it is travelling from City P to City Q, which are 350 km apart. Study the graph and answer the following:
(i) What information is given on the two axes?
(ii) From where and when did the car begin its journey?
(iii) How far did the car go in the first hour?
(iv) How far did the car go during (i) the 2nd hour? (ii) the 3rd hour?
(v) Was the speed same during the first three hours? How do you know it?
(vi) Did the car stop for some duration at any place? Justify your answer.
(vii) When did the car reach City Q?

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:

  1. For how many seconds did the ice block have no change in temperature?
  2. For how long was there a change in temperature?
  3. After how many seconds of heating did the temperature become constant at 0°C?
  4. What was the temperature after 25 seconds?
  5. What will be the temperature after 1.5 minutes? Justify your answer.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×