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Question
Draw the graphs for the following tables of values, with suitable scales on the axes.
Interest on deposits for a year:
| Deposit (in Rs) | 1000 | 2000 | 3000 | 4000 | 5000 |
| Simple interest (in Rs) | 80 | 160 | 240 | 320 | 400 |
- Does the graph pass through the origin?
- Use the graph to find the interest on Rs 2500 for a year:
- To get an interest of Rs 280 per year, how much money should be deposited?
Solution
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 the 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:
- Yes, The graph passes through the origin.
- The interest earned in a year on a deposit of Rs 2500 is Rs 200.
- To get an interest of Rs 280 per year, Rs 3500 should be deposited.
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