# NCERT Solutions Class 8 Maths Chapter 15 Exercise 15.3

The study of quantity, structure, space, and change is known as Mathematics. The “Science of patterns,” as it has been called, seeks to comprehend and characterize the environment in which humans or other objects exist. The fundamental ideas in Mathematics include those related to numbers, algebra, geometry, and calculus. There are many applications for Mathematics. It is employed in Engineering to produce physical objects as well as in Physics to apprehend the natural world. It is engaged in Biology to understand the composition and operation of cells, as well as in Business to make financial judgments. In the Arts, Mathematics is also used for a variety of tasks, such as making music and designing stunning symmetrical patterns.

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## NCERT Solutions for Class 8 Maths, Chapter 15: Introduction to Graphs (EX 15.3) Exercise 15.3

For Indian students, a variety of study assistance programmes are accessible through the National Council of Educational Research and Training (NCERT) of India. The NCERT, a department of the Indian government, is in charge of creating textbooks and school curricula. Its main office is in New Delhi, where it was founded in 1961. NCERT has launched certain solutions for their textbooks that help students better understand the subjects. The solutions similar to NCERT Solutions for Class 8 Maths, Chapter 15, Exercise 15.3, may be used by students to grasp the ideas presented in the NCERT textbooks and to help them study for their examinations. Students, professors, and educational institutions utilise them as reference materials in classrooms throughout the nation. Exercises and problems from the NCERT textbooks that have been cleared up may be found in the NCERT Solutions, which are prepared by subject-matter experts. On the Extramarks’ website, students may obtain a downloadable version of the NCERT Solutions for Class 8 Maths, Chapter 15, Exercise 15.3, in document format.

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### NCERT Solutions for Class 8 Maths, Chapter 15: Introduction to Graphs

By using the NCERT Class 8 Maths Chapter 15 Exercise 15.3 solutions, students may obtain a thorough and remarkable understanding of the concepts and principles included in the Class 8 Mathematics NCERT textbook. Students must browse the website of Extramarks or a mobile application to find the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 and other solutions for diverse classes. Extramarks’ online platform usually includes this format for solutions so that students can save it as a PDF for later use. An in-depth analysis of each subject is provided in the solutions, which are rather extensive. As they get ready for tests, students could find the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 to be a helpful study aid. Each and every question is included in these NCERT Solutions, along with explanatory answers. Given that, it includes a substantial number of challenging questions, practise tests, and past years’ papers. Students who use the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 will be better able to understand the material and apply mathematics on a regular basis. The NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 must be downloaded as a PDF file by students from Extramarks’ website to be able to receive comprehensive guidance on how to resolve problems involving drawing lines on the graphs and its introduction by utilising a range of points and coordinates.

### Exercise 15.3

In accordance with Chapter 15 of Class 8, students will get knowledge about:

1. a) Drawing Graphs with the provided values in the question and
2. b) Drawing Graphs and verifying whether they are Linear Graphs or not.

The NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 advised by Extramarks help students solve the questions or topics that are specified in Exercise 15.3. Moreover, Chapter 15 has other essential themes and concepts covered in the Mathematics subject. The chapter has, in total, three exercises with distinct ideas. These notions and exercises are mentioned below in list form:

1) Different types of Graphs – Bar Graph, Pie Graph, Line Graph, and Histogram

2) Pie Graph  (also known as a Circle Graph)

3) A Graph on performance

4) Exercise 15.1

1. Temperature of a patient
2. Line Graph – Sales
3. Forecast temperature
4. Drawing Linear Graphs
5. Time-Temperature Graph

5) Linear Graphs

1. Location of a point
2. Coordinates – x and y

6) Exercise 15.2

1. Plotting points on the graph sheet and verifying if they lie on line
2. Finding the coordinates of the points

7) Some applications

1. Independent Variable (control variable)
2. The Dependent Variable

8) Exercise 15.3

1. Drawing Graphs by using the values provided in the query
2. Drawing Graphs and verifying if they are a Linear Graph or not

The Introduction to Graphs, Chapter 15 of Class 8, has NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 that aid students in effortlessly preparing for their Mathematics examination. The NCERT Solutions for Class 8 Maths, Chapter 15, Exercise 15.3, are emphasised by Extramarks and can be easily found on their website or application on the smartphone.

### NCERT Solutions for Class 8 Maths Chapter 15: Introduction to Graphs Exercise 15.3

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### NCERT Solutions for Class 8

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Q.1 Draw the graphs for the following tables of values, with suitable scales on the axes.

(a) Cost of apples

 Number of apples 1 2 3 4 5 Cost 5 10 15 20 25

(b) Distance travelled by a car

 Time (in hours) 6a.m. 7 a.m. 8 a.m. 9 a.m. Distances (in km) 40 80 120 160
1. How much distance did the car cover during the period 7.30 a.m. to 8 a.m.?
2. What was the time when the car had covered a distance of 100 km since it’s start?

(c) Interest on deposits for a year.

 Number of apples 1 2 3 4 5 Cost 5 10 15 20 25
1. Does the graph pass through the origin?
2. Use the graph to find the interest on ₹ 2500 for a year.
3. To get an interest of ₹ 280 per year, how much money should be deposited?

Ans

(a)

 Number of apples 1 2 3 4 5 Cost 5 10 15 20 25

Scale:
X-axis, 1 unit = 10 apples
Y-axis, 1 unit = Rs 10
A graph of the given data is as follows. (b)

 Time (in hours) 6a.m. 7 a.m. 8 a.m. 9 a.m. Distances (in km) 40 80 120 160

Scale:
X-axis, 2 units = 1 hour
Y-axis, 2 units = 40 km
A graph of the given data is as follows. 1. The car covered a distance of 20 km during the period 7:30 a.m. to 8 a.m.
2. The car covered a distance of 100 km since its start at 7:30 a.m.

(c)

 Deposit (in Rs) 1000 2000 3000 4000 5000 Simple Interest (in Rs) 80 160 240 320 400 1. Yes, the graph passes through the origin.
2. The interest on Rs 2500 for a year is Rs 200.
3. To get an interest of Rs 280 per year, Rs 3500 should be deposited.

Q.2 Draw a graph for the following.

(i)

 Side of square 2 3 3.5 5 6 Perimeter 8 12 14 20 24

Is it a linear graph?

(ii)

 Side of square (in cm) 2 3 3.5 5 6 Area (in cm2) 4 9 16 25 36

Is it a linear graph?

Ans

(i)

 Side of square 2 3 3.5 5 6 Perimeter 8 12 14 20 24 Scale:
X axis: 1 unit = 5 cm
Y axis: 1 unit = 5 cm
It is a linear graph.

(ii)

 Side of square (in cm) 2 3 3.5 5 6 Area (in cm2) 4 9 16 25 36 Scale:
X axis: 1 unit = 1 cm
Y axis: 1 unit = 5 cm2
It is not a linear graph.