Academics – Mathematics : 2018/DEC/05
Question
Q5. Table Q5 shows corresponding measurements of the diameter (d cm) and the breaking load (m kg) of a particular type of rope.
a) Draw a straight line graph to verify that the diameter and breaking load are related by a law of form m = kdn where k and n are constants. (10)
| d | 2 | 3 | 4 | 5 | 6 |
| m | 80 | 179 | 320 | 501 | 720 |
Table Q5
Suggested scales: horizontal axis 2cm = 0.1
vertical axis 2cm = 0.1
b) Use the graph drawn in Q5 (a)to estimate the value of k and n. (6)
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