HBSE 8th Class Maths Solutions Chapter 15 Introduction to Graphs Ex 15.3

Haryana State Board HBSE 8th Class Maths Solutions Chapter 15 Introduction to Graphs Ex 15.3 Textbook Exercise Questions and Answers.

Haryana Board 8th Class Maths Solutions Chapter 15 Introduction to Graphs Exercise 15.3

Question 1.
Draw the graphs for the following tables of values, with suitable scales on the axes.
(a) Cost of apples
HBSE 8th Class Maths Solutions Chapter 15 Introduction to Graphs Ex 15.3 1
(b) Distance travelled by a car
HBSE 8th Class Maths Solutions Chapter 15 Introduction to Graphs Ex 15.3 2
(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
HBSE 8th Class Maths Solutions Chapter 15 Introduction to Graphs Ex 15.3 3
(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)
HBSE 8th Class Maths Solutions Chapter 15 Introduction to Graphs Ex 15.3 4
Scale : Horizontal: 1 unit = 1 apple
Vertical: 1 unit = Rs. 5
Here, 10 small division = 1 unit
Steps to follow :
(i) Mark no. of apples along horizontal axis.
(ii) Mark cost (in Rs.) along vertical axis.
(iii) Plot the points as shown in graph.
(iv) Join the points (1, 5), (2, 10), (3, 15), (4, 20) and (5, 25).

HBSE 8th Class Maths Solutions Chapter 15 Introduction to Graphs Ex 15.3

(b)
HBSE 8th Class Maths Solutions Chapter 15 Introduction to Graphs Ex 15.3 5
HBSE 8th Class Maths Solutions Chapter 15 Introduction to Graphs Ex 15.3 6
Scale : 2 units = 1 hour (Horizontal line)
1 unit = 40 km (Vertical line)
(i) Corresponding to 7.30 a.m. on horizontal axis, we get the distance 100 km on vertical axis.
So, distance covered by car during 7.30 a.m. and 8 a.m. = 120 – 100 = 20 km.
(ii) 7.30 a.m.

(c)
HBSE 8th Class Maths Solutions Chapter 15 Introduction to Graphs Ex 15.3 7
Scale :
Horizontal : 1 unit = Rs. 80
Vertical: 1 unit = Rs. 1000
Hence, 10 small division = 1 unit.
Steps Of follow :
(i) Mark simple interest (in Rs.) along horizontal axis.
(ii) Mark deposite (in Rs.) along vertical axis
(iii) Plot the points as showin in graph.
(iv) Joint the points (80, 1000), (160, 2000), (240, 3000), (320, 4000), (400, 5000)

HBSE 8th Class Maths Solutions Chapter 15 Introduction to Graphs Ex 15.3

Question 2.
Draw a graph for the following :
(i)
HBSE 8th Class Maths Solutions Chapter 15 Introduction to Graphs Ex 15.3 8
Is it a linear graph ?
(ii)
HBSE 8th Class Maths Solutions Chapter 15 Introduction to Graphs Ex 15.3 9
Is it a linear graph ?
Solution:
HBSE 8th Class Maths Solutions Chapter 15 Introduction to Graphs Ex 15.3 10
Scale : 1 unit on horizontal line = 1 cm
1 unit on vertical line = 4 cm
Since graph is not a straight line.
∴ It is not a linear graph.
(ii)
HBSE 8th Class Maths Solutions Chapter 15 Introduction to Graphs Ex 15.3 11
Scale : 1 unit on X-axis = 1 cm
1 unit on Y-axis = 4 cm2

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