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Class 8 NCERT Solutions – Chapter 15 Introduction to Graphs – Exercise 15.3

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  • Last Updated : 20 Nov, 2020
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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 travelled by car

Time (in hours) 6 a.m. 7 a.m. 8 a.m. 9 a.m.
Distances (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?

(c) Interest on deposits for a year.

Deposit (in ₹) 1000 2000 3000 4000 5000
Simple Interest (in ₹)  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?

Solution:

(a) Represent the “Number of apples” as X-axis and “Cost in Rs” as Y-axis

(b) Represent the “Times (in hrs)” as X-axis and “Distance (in km)” as Y-axis

(i) The car covered 20 km distance during the period 7.30 a.m. to 8 a.m.

(ii) It was 7.30 am, when the car covered a distance of 100 km since it’s start.

(c) Represent the “Simple Interest (in Rs)” on x-axis and “Deposit (in Rs)” on y-axis.

(i) Yes, the graph passes through origin.

(ii) The interest on Rs. 2500 is Rs. 200 for a year.

(iii) Rs. 3500 should be deposited for interest of Rs. 280 per year.

Question 2: Draw a graph for the following

(i)

Side of the square(in cm) 2 3 3.5 5 6
Perimeter(in cm) 8 12 14 20 24

Is it linear graph?

(ii)

Side of the square(in cm) 2 3 4 5 6
Area(in cm2) 4 9 16 25 36

Is it linear graph?

Solution:

(i) Represent the “Side of square(in cm)” on x-axis and “Perimeter(in cm)” on y-axis. 

Yes, the graph is a linear graph.

(ii) Represent the “Side of square(in cm)” on x-axis and “Area(in cm2)” on y-axis.  

No, the graph is not a linear graph because the graph does not provide a straight line.

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