Class 8 NCERT Mathematics Solutions Chapter 15 Introduction to Graphs Exercise 15.3 (original) (raw)
Last Updated : 23 Jul, 2025
"Introduction to Graphs," covers the basics of graphing, including how to plot points on a coordinate grid, interpret graphs, and understand the relationships represented by different types of graphs. Exercise 15.3 focuses on applying these concepts to solve various graph-related problems.
This section provides detailed solutions for Exercise 15.3 from Chapter 15 of the Class 8 NCERT Mathematics textbook. The exercise includes problems that require students to plot points on a graph, interpret data, and solve real-life problems using graphs. Solutions are presented step-by-step to aid students in mastering graphing techniques.
Class 8 NCERT Mathematics Solutions - Exercise 15.3
**Question 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 (in ₹) | **5 | **10 | **15 | **20 | **25 |
****(b) Distance traveled by car**
| **Time (in hours) | **6 a.m. | **7 a.m. | **8 a.m. | **9 a.m. |
|---|---|---|---|---|
| **Distances (in km) | **40 | **80 | **120 | **160 |
****(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?**
****(c) Interest on deposits for a year.**
| **Deposit (in ₹) | **1000 | **2000 | **3000 | **4000 | **5000 |
|---|---|---|---|---|---|
| **Simple Interest (in ₹) | **80 | **160 | **240 | **320 | **400 |
****(i) Does the graph pass through the origin?**
****(ii) Use the graph to find the interest on Rs 2500 for a year.**
****(iii) To get an interest of Rs. 280 per year, how much money should be deposited?**
**Solution:
****(a)** Represent the "Number of apples" as X-axis and "Cost in Rs" as Y-axis
****(b)** Represent the "Times (in hrs)" as X-axis and "Distance (in km)" as Y-axis
****(i)** The car covered 20 km distance during the period 7.30 a.m. to 8 a.m.
****(ii)** It was 7.30 am, when the car covered a distance of 100 km since it’s start.
****(c)** Represent the “Simple Interest (in Rs)” on x-axis and “Deposit (in Rs)” on y-axis.
****(i)** Yes, the graph passes through origin.
****(ii)** The interest on Rs. 2500 is Rs. 200 for a year.
****(iii)** Rs. 3500 should be deposited for interest of Rs. 280 per year.
**Question 2: Draw a graph for the following
****(i)**
| **Side of the square(in cm) | **2 | **3 | **3.5 | **5 | **6 |
|---|---|---|---|---|---|
| **Perimeter(in cm) | **8 | **12 | **14 | **20 | **24 |
**Is it linear graph?
****(ii)**
| **Side of **the square(in cm) | **2 | **3 | **4 | **5 | **6 |
|---|---|---|---|---|---|
| **Area(in cm 2 ) | **4 | **9 | **16 | **25 | **36 |
**Is it linear graph?
**Solution:
****(i)** Represent the “Side of square(in cm)” on x-axis and “Perimeter(in cm)” on y-axis.
Yes, the graph is a linear graph.
****(ii)** Represent the “Side of square(in cm)” on x-axis and “Area(in cm2)” on y-axis.
No, the graph is not a linear graph because the graph does not provide a straight line.
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Conclusion
Chapter 15 of the Class 8 NCERT Mathematics textbook, "Introduction to Graphs", introduces students to the basics of graphing, including plotting points and interpreting graphs. Exercise 15.3 focuses on applying these skills to solve problems involving graphical data representation. Solutions are provided to help students understand how to create and analyze graphs effectively, covering key concepts such as coordinate plotting, graph interpretation, and real-life applications of graphs.