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Q5. The fuel consumption, F tonnes per day, at a speed, V knots, for a certain vessel are related by:

F = aV² + b where a and b are constants.

Table Q5 indicates recorded values of F and V.

(a) Using the values in Table Q5 draw a graph to verify the relationship between F and V: (10)

Suggested scales:      horizontal axis 2 cm = 10

vertical axis 2 cm = 2

(b) Use the drawn graph to determine approximate values of a and b. (6)