NCERT Class 8 Mathematics Solutions: Chapter 15 –Introduction to Graph Exercise 15.3 Part 1

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

(a) Cost of apples

In Given Table, Num of Apple and Cost of Apple
In given table, num of apple and cost of apple

No. of apples

1

2

3

4

5

Cost (in Rs)

5

10

15

20

25

(b) Distance travelled by a car

In Given Table, Traveling Time and Distance
In given table, traveling time and distance

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 ?

(ii) What was the time when the car had covered a distance of since it’s start?

(iii) Interest on deposits for a year.

In the Given Table, Deposit and Simple Interest
In the given table, deposit and simple interest

Deposit (in Rs.)

1000

2000

3000

4000

5000

Simple Interest (in Rs)

80

160

240

320

400

(i) Does the graph pass through the origin?

(ii) Use the graph to find the interest on for a year.

(iii) To get an interest of per year, how much money should be deposited?

Answer:

(a)

Number of Apple and its cost are shown in graph

Number of Apple and Its Cost Are Shown in Graph

Number of Apple and its cost are shown in graph

(b)

(i) The car covered distance.

(ii) when the car covered a distance of the time is 7.30 am.

Time and Distance are shown in graph

Time and Distance Are Shown in Graph

Time and Distance are shown in graph

(c)

(i) Yes, the graph passes through the origin.

(ii)The midpoint between 2000 and 3000 is near Rs. 200, So, the Interest on for a year.

(iii) To get Rs. 80 per year one needs to deposit Rs. 1000

To get Rs.1 per year one needs to deposits Rs.

To get Rs.280 per year one needs to deposits Rs.

So, deposited for interest of .

Deposits and Simple interest are shown in graph

Deposits and Simple Interest Are Shown in Graph

Deposits and Simple interest are shown in graph

1. Draw a graph for the following.

(i) Is it a line graph?

In the Table, Side of Square and Give Its Perimeter
In the table, side of square and give its perimeter

Side of Square (in cm)

2

3

3.5

5

16

Perimeter (in cm)

8

12

14

20

24

(ii) Is it a linear graph?

In Showing Table Side of Square and Its Area Given
In showing table side of square and its area given

Side of Square (in cm)

2

3

4

5

6

Area (in )

4

9

16

25

36

(i) Yes, it is a line graph.

Graph of Perimeter vs side of square

Graph of Perimeter vs Side of Square

Graph of Perimeter vs side of square

(ii) No, it is not a linear graph because the graph does not provide a straight line.

Graph of Area vs side of square are given

Graph of Area vs Side of Square Shown

Graph of Area vs side of square are given