Question

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 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 7.30 a.m. to 8 a.m.? 
(ii) What was the time when the car had covered a distance of 100 km since its start? 
(c) Interest on deposits for a year.

Deposit	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  2500 for a year.
(iii) To get an interest of  280 per year, how much money should be deposited?

Answer 1

(a) Taking a suitable scale (for \(x-axis\), \(1\) unit = \(1\) apple and for \(y-axis\), 1 unit = Rs \(5\)),
we can mark the number of apples on \(x-axis\) and the cost of apples on \(y-axis\). 
A graph of the given data is as follows.

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(b) Taking a suitable scale (for \(x-axis\), \(2\) units = \(1\) hour and for \(y-axis\), \(2\) units = \(40\) \(km\)), 
we can represent the time on \(x-axis\) and the distance covered by the car on \(y-axis\). 
A graph of the given data is as follows. 

(i) During the period \(7:30\) a.m. to \(8\) a.m., the car covered a distance of \(20\) \(km\). 
(ii) The car covered a distance of \(100\) \(km\) at \(7:30\) a.m. since its start.

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(c) Taking a suitable scale, 
For \(x-axis\), \(1\) unit = Rs \(1000\) and for \(y-axis\), \(1\) unit = Rs \(80\) 
We can represent the deposit on \(x-axis\) and the interest earned on that deposit on \(y-axis\). 
A graph of the given data is obtained as follows. 

From the graph, the following points can be observed. 

1. Yes. The graph passes through the origin.
2. The interest earned in a year on a deposit of Rs \(2500\) is Rs \(200\).
3. To get an interest of Rs \(280\) per year, Rs \(3500\) should be deposited.