NCERT Solutions For Class 8 Maths Chapter 15 Ex 15.3
ncert solutions for class 8 maths chapter 15, Exercise 15.3 involve complete answers for each question in the exercise 15.3. The solutions provide students a strategic methods to prepare for their exam. Class 8 Maths Chapter 15 Introduction to Graphs Exercise 15.3 questions and answers helps students to perform better in exam and it will clear doubts definitely. Students will find it extremely easy to understand the questions and learn solving the problems.NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Exercise 15.3 prepared by our subject matter experts in very delicate, easy and creative way.
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 a car
|
Time (in hours) |
6 a.m. |
7 a.m. |
8 a.m. |
9 a.m. |
|
Distance (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 its start?
(c) Interest on deposits for a year:
|
Deposit (in ₹) |
1000 |
2000 |
3000 |
4000 |
5000 |
|
Simple interest (in ₹) |
80 |
160 |
240 |
320 |
400 |
(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?
Answer:
(a) Taking a suitable scale (for x-axis, 1 unit = 1 apple and for y-axis, 1 unit = ₹ 5), we can mark the number of apples on x-axis and the cost of apples on y-axis. A
graph of the given data is as follows.
(b) Taking a suitable scale (for x-axis, 2 units = 1 hour and for y-axis, 2 units = 40
km), we can represent the time on x-axis and the distance covered by the car on y-axis.
A graph of the given data is as follows.
(i) During the period 7:30 a.m. to 8 a.m., the car covered a distance of 20 km.
(ii) The car covered a distance of 100 km at 7:30 a.m. since its start.
(c) Taking a suitable scale,
For x-axis, 1 unit = ₹ 1000 and for y-axis, 1 unit = ₹ 80
We can represent the deposit on x-axis and the interest earned on that deposit on y-axis.
A graph of the given data is obtained as follows.
From the graph, the following points can be observed.
(i) Yes. The graph passes through the origin.
(ii) The interest earned in a year on a deposit of ₹ 2500 is ₹ 200.
(iii) To get an interest of ₹ 280 per year, ₹ 3500 should be deposited.
Question 2:
Draw a graph for the following.
(i)
|
Side of square (in cm) |
2 |
3 |
3.5 |
5 |
6 |
|
Perimeter (in cm) |
8 |
12 |
14 |
20 |
24 |
(ii)
|
Side of square (in cm) |
2 |
3 |
4 |
5 |
6 |
|
Area (in cm2) |
4 |
9 |
16 |
25 |
36 |
Is it a linear graph?
Answer:
(i) Choosing a suitable scale,
For x-axis, 1 unit = 1 cm and for y-axis, 1 unit = 4 cm
We can represent the side of a square on x-axis and the perimeter of that square on
y-axis. A graph of the given data is drawn as follows.
It is a linear graph.
(ii)Choosing a suitable scale,
For x-axis, 1 unit = 1 cm and for y-axis, 1 unit = 4 cm2
We can represent the side of a square on the x-axis and the area of that square on
y-axis. A graph of the given data is as follows.
It is not a linear graph.
