NCERT Class 8 Mathematics Solutions: Chapter 15 – Introduction to Graph Exercise 15.1 Part 5 (For CBSE, ICSE, IAS, NET, NRA 2022)

Glide to success with Doorsteptutor material for IMO Class-8: fully solved questions with step-by-step explanation- practice your way to success.

Understanding of Line Graph with Exmple

1. Use the tables below to draw linear graphs.

(a) The number of days a hill side city received snow in different years.

Table Shows Number of Days a Hill Side City Received Snow in Different Year
Year
Days

(b) Population (in thousands) of men and women in a village in different years.

In Table Given Population of Men and Women
Year20032004200520062007
No. of Men1212.51313.213.5
No. of Women11.311.91313.612.8

Answer:

(a)

A Graph Days vs Year

(b)

Graph of Number of Men and Women vs Years

NCERT Class 8 Mathematics Solutions: Chapter 15 – Introduction to Graph Exercise 15.1 Part 5

Example of Plotting Points on the X-Y Grid

1. A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph.

Graph between Distance and Time

(a) What is the scale taken for the time axis?

(b) How much time did the person take for the travel?

(c) How far is the place of the merchant from the town?

(d) Did the person stop on his way? Explain.

(e) During which period did he ride fastest?

Answer:

(a)

(b) The person took hours for the travel.

(c) It was far from the town.

(d) Yes, this has been indicated by the horizontal part of the graph.

He stayed from .

(e) He ride the fastest between .

Understanding of Bar Graph vs. Line Graph

1. Can there be a time-temperature graph as follows? Justify your answer.

(i)

Temperature and Time with Line

(ii)

Temperature and Time with Cross Line

(iii)

Temperature and Time with Vertical Line

(iv)

Temperature and Time with Horizontal Line

Answer:

(i) It is showing the increase in temperature.

(ii) It is showing the decrease in temperature.

(iii) The graph figure is not possible since temperature is increasing very rapidly which is not possible.

(iv) It is showing constant temperature.