Concept explainers
Population growth. The two curves below describe the numbers of people in two countries at time t, in years.
a) Find the average rate of changes of each population with respect to time t as t changes from 0 to 4. This is often called the average growth rate.
b) If the calculations in part (a) were the only ones made, would we detect the fact that the populations were growing differently? Why or why not?
c) Find the average rates of changes of each population as t changes from 0 to 1; from 1 to 2; from 2 to 3; from 3 to 4.
For which population does the statement “the population grew consistently at a rate of 125 million per year” convey accurate information? Why?
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