Linear Law Ex1
1. |
Variables and are known to be related by an equation of the form |
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1 | 2 | 3 | 4 | |
4.00 | 2.50 | 2.67 | 3.25 |
Solutuion: |
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1 | 2 | 3 | 4 | |
4.00 | 2.50 | 2.67 | 3.25 | |
3.00 | 1.00 | -0.99 | -3.00 |
2. |
The table shows experimental values of the variables and . |
2 | 3 | 4 | 5 | 6 | |
11.9 | 21.2 | 32.0 | 44.1 | 57.4 |
It is known that and are related by the equation , where and are constants. |
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(a) Express the equation in a form suitable for drawing a straight line graph. |
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(b) Draw the graph and use it to estimate the value of and of . |
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(c) With the estimated values of and , calculate the value of when . |
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Solutuion: |
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(b) |
2 | 3 | 4 | 5 | 6 | |
11.9 | 21.2 | 32.0 | 44.1 | 57.4 | |
1.00 | 1.26 | 1.45 | 1.59 | 1.71 | |
0.30 | 0.48 | 0.60 | 0.70 | 0.78 |