The table below shows the population of Mozambique between 1960 and 2010. This data can be modelled
Question:
The table below shows the population of Mozambique between 1960 and 2010.
This data can be modelled using an exponential function of the form P = ab^{t}, where t is the time in years since 1960 and a and b are constants.
a. Copy and complete the table below.
b. Show that P = ab^{t} can be rearranged into the form log P = log a + t log b.
c. Plot a graph of log P against t using the values from your table and draw in a line of best fit.
d. Use your graph to estimate the values of a and b.
e. Explain why an exponential model is often appropriate for modelling population growth.
Transcribed Image Text:
Year Population, P (millions) 1960 7.6 1970 9.5 1980 12.1 1990 13.6 2000 18.3 2010 23.4
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a Time since 1960 0 10 20 30 40 50 logP 088 098 108 113 126 ...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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