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