NCERT Class 8 Mathematics Solutions: Chapter 15 – Introduction to Graph Exercise 15.3 Part 1 (For CBSE, ICSE, IAS, NET, NRA 2022)

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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
No. of apples12345
Cost (in ₹)510152025

(b) Distance travelled by a car

In Given Table, Traveling Time and Distance
Time (in hours)6 a. m.7 a. m8 a. m9 a. m.
Distance (in km)4080120160

(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
Deposit (in ₹)10002000300040005000
Simple Interest (in ₹)80160240320400

(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

(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

(c)

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

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

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

To get ₹ 1 per year one needs to deposits ₹

To get ₹ 280 per year one needs to deposits ₹

So, deposited for interest of .

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
Side of Square (in cm)233.5516
Perimeter (in cm)812142024

(ii) Is it a linear graph?

In Showing Table Side of Square and Its Area Given
Side of Square (in cm)23456
Area (in )49162536

(i) Yes, it is a line graph.

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