Introduction to Graphs - Solutions 3
CBSE Class –VIII Mathematics
NCERT Solutions
CHAPTER - 15
Introduction to Graphs (Ex. 15.3)
NCERT Solutions
CHAPTER - 15
Introduction to Graphs (Ex. 15.3)
1. Draw the graphs for the following tables of values, with suitable scales on the axes.
(a) Cost of apples
No. of apples
|
1
|
2
|
3
|
4
|
5
|
Cost (in Rs.)
|
5
|
10
|
15
|
20
|
25
|
(b) Distance travelled 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 it’s start?
(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(inRs.)
|
1000
|
2000
|
3000
|
4000
|
5000
|
Simple Interest (inRs.)
|
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?
(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?
Ans. (a)
(b) (i) The car covered 20 km distance.
(ii) It was 7.30 am, when it covered 100 km distance.
(c) (i) Yes, the graph passes through the origin.
(ii) Interest on Rs. 2500 is Rs. 200 for a year.
(iii) Rs. 3500 should be deposited for interest of Rs. 280.
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
|
Is it a linear graph?
(ii)
Side of Square(in cm)
|
2
|
3
|
4
|
5
|
6
|
Area (in cm2)
|
4
|
9
|
16
|
25
|
36
|
Is it a linear graph?
Ans. (i) Yes, it is a linear graph.
(ii) No, it is not a linear graph because the graph does not provide a straight line.
