Class 8 NCERT 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
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?
(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
Side of the square(in cm) 2 3 3.5 5 6 Perimeter(in cm) 8 12 14 20 24
Is it linear graph?
|Side of the square(in cm)||2||3||4||5||6|
Is it linear graph?
(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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