The population, P, of a colony of endangered Caledonian owlet-nightjars can be modelled by the equation P
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The population, P, of a colony of endangered Caledonian owlet-nightjars can be modelled by the equation P = abt where a and b are constants and t is the time, in months, since the population was first recorded.
The line l shown in figure 2 shows the relationship between t and log10P for the population over a period of 20 years.
a. Write down an equation of line l.
b. Work out the value of a and interpret this value in the context of the model.
c. Work out the value of b, giving your answer correct to 3 decimal places.
d. Find the population predicted by the model when t = 30.
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a To write down an equation of line l we need to determine its slope and yintercept Since the line r...View the full answer
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Related Book For 
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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