Academics – Mathematics : 2017/DEC/05
Question
Q5. The data shown in Table Q5 gives the fuel consumption, F(tonnes/day) of a vessel at speed v(knots).
a) By drawing an appropriate straight line graph, verify that the data fits an equation of the form:(10)
F = av2 + b, where a and b are constants.
| v | 8 | 10 | 12 | 15 | 18 |
| F | 14.44 | 20.20 | 27.24 | 40.20 | 56.04 |
Table Q5
Suggested scales: horizontal axis 2 cm = 20
vertical axis 2 cm = 10
b) Use the graph drawn in Q5 (a)to estimate the value of a and b. (5)
c) Estimate the fuel consumption at a speed of 20 knots. (1)
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