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NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.3

NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.3 are part of NCERT Solutions for Class 8 Maths. Here we have given NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.3.

  • Introduction to Graphs Class 8 Ex 15.1
  • Introduction to Graphs Class 8 Ex 15.2
Board CBSE
Textbook NCERT
Class Class 8
Subject Maths
Chapter Chapter 15
Chapter Name Introduction to Graphs
Exercise Ex 15.3
Number of Questions Solved 2
Category NCERT Solutions

NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.3

Ex 15.3 Class 8 Maths Question 1.
Draw the graphs for the following tables of values, with suitable scales on the axes.
(a) Cost of apples
NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs 18
(b)
Distance travelled by a car
NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs 19
(i) How much distance did the car cover during the period 7.30 a.m. to 8 a.m.?
(ii) What was the time when the car had covered a distance of 100 km since it’s start? Interest on deposits for a year
(c) Interest on deposits for a year.
NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs 20
(i) Does the graph pass through the origin?
(ii) Use the graph to find the interest on ( 2500 for a year.
(iii) To get an interest of? 280 per year, how much money should be deposited?
Solution:
(a) In order to represent the given data graphically, we represent ‘Number of apples, on the x-axis and ‘Cost of apples (in ₹)’ on the y-axis. The ordered pairs (1, 5), (2, 10), (3, 15), (4, 20) and (5, 25) are plotted as points and are joined by the line segments as shown in the figure. This gives the required graph.
NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs 21

(b) In order to draw time-distance graph, we represent the time (in hours) on x-axis and the distances (in km) on y-axis.
Scale : 2 units = 1 hour on x-axis and 1 unit = 10 km on y-axis.
Plot the points (6, 40), (7, 80), (8, 120) and (9, 160).
Join them by the line segments to obtain the required graph given below :
NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs 22
(i)
Clearly, from the graph E” distance covered by the s car during 7.30 a.m. to g 8.00 a.m. is 20 km. §
(∵ 120 -100 =20 km)
(ii) The time when the car had covered 100 km since it’s start is 7.30 a.m.
(c) In order to draw principal-simple interest graph, we represent deposits (in X) on x-axis and the simple interest (in ₹) on y-axis.
Scale : 1 unit = ₹ 1000 on x-axis.
1 unit = ₹ 80 on y-axis.
Plot the points (1000, 80), (2000, 160), (3000, 240), (4000, 320) and (5000, 400).
NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs 23
Join these points to obtain the required graph.
Yes, the graph passes through origin.
(ii) Corresponding to ₹ 2500 on the x-axis, we get the interest to be ₹ 200 on the y-axis.
(iii) Corresponding to ₹ 280 per year on the y-axis, we get the sum to be ₹ 3500 on the x-axis.

Ex 15.3 Class 8 Maths Question 2.
Draw a graph for the following :
(i)
NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs 24
Is it a linear graph?
(ii)
NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs 25
Is it a linear graph?
Solution:
(i) In order to represent the given data graphically, we represent the side of square (in cm) on the x-axis and the perimeter (in cm) on the y-axis. Scale : 1 units = 1 cm on x-axis and y-axis.
Plot the points (2, 8), (3, 12), (3.5, 14), (5, 20) and (6, 24). Join these points to obtain the required graph.
It is a linear graph.
NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs 26
(ii)
In order to represent the given data graphically, we represent the side of square (in cm) on the x-axis and the area (in cm2) on the y-axis. Scale : 1 unit = 1 cm on x-axis and 1 unit = 1 cm2 on y-axis.
Plot the points (2, 4), (3, 9), (4, 16), (5, 25) and (6, 36). Join these points to obtain the required graph.
NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs 27

It is not linear.

 

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