Academics – Mathematics : 2023/MAR/05
Question
Q5. For a particular vessel, fuel consumption, F tonnes per day, at a speed of v knots, are recorded in Table Q5.
(a) Draw a straight linear graph to verify that the fuel consumption and the vessel’s speed are related by a law of the form F = av2 + b where a and b are constants. (10)
| v | 5 | 10 | 15 | 20 | 25 |
| F | 6.5 | 18.5 | 38.5 | 66.5 | 102.5 |
Table Q5
Suggested scales: horizontal axis: 2 cm= 100
Vertical axis: 2 cm = 10
(b) Use the graph drawn in Q5(a) to estimate the values of a and b. (6)
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