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
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?
(ii) What was the time when the car had covered a distance of since it’s start?
(iii) Interest on deposits for a year.
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)
(b)
(i) The car covered distance.
(ii) when the car covered a distance of the time is 7.30 am.
(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 .
1. Draw a graph for the following.
(i) Is it a line graph?
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?
Side of Square (in cm) | 2 | 3 | 4 | 5 | 6 |
Area (in ) | 4 | 9 | 16 | 25 | 36 |
(i) Yes, it is a line graph.
(ii) No, it is not a linear graph because the graph does not provide a straight line.