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Question
Consider this input/output table.
| Input | 1 | 2 | 4 | 5 | 7 |
| Output | 2 | 5 | 11 | 14 | 20 |
- Graph the values from the table by taking Input along horizontal axis from 0 to 8 and Output along vertical axis from 0 to 24.
- Use your graph to predict the outputs for inputs of 3 and 8.
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Solution
a. On the basis of given input/output table, we can draw the following table.
The graph shows y = 3x – 1 pattern.
b. ∴ Pattern is y = 3x – 1
If x = 3, then y = 3 × 3 – 1 = 9 – 1 = 8
If x = 8, then y = 3 × 8 – 1 = 24 – 1 = 23
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