The table gives census data for the population of Indonesia, in millions, during the second half of the 20th century.

(a) Assuming the population grows at a rate proportional to its size, use the census data for 1950 and 1960 to predict the population in 1980. Compare with the actual figure.
(b) Use the census data for 1960 and 1980 to predict the population in 2000. Compare with the actual population.
(c) Use the census data for 1980 and 2000 to predict the population in 2010 and compare with the actual population of 243 million.
(d) Use the model in part (c) to predict the population in 2025. Do you think the prediction will be too high or too low? Why?

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Population (millions) Year 1950 83 1960 100 1970 122 1980 150 1990 182 2000 214