A scientist is modelling the number of people, N, who have fallen sick with a virus after

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A scientist is modelling the number of people, N, who have fallen sick with a virus after t days.


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From looking at this graph, the scientist suggests that the number of sick people can be modelled by the equation N = abt, where a and b are constants to be found.


The graph passes through the points (0, 1.6) and (10, 2.55).


a. Write down the equation of the line.


b. Using your answer to part a or otherwise, find the values of a and b, giving them to 2 significant figures.


c. Interpret the meaning of the constant a in this model.


d. Use your model to predict the number of sick people after 30 days. Give one reason why this might be an overestimate.

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