The two curves on the graph describe the number of people in two countries at time t, in years. 

Answer parts (a) through (d) to the right.

a) Find the average rate of change of each population with respect to time t as t changes from 0 to 4. (The growth rate)

The average growth rate of population A 

The average growth rate of population B 

b) If the calculation in part (a) were the only one made, would be detect the fact that the populations were growing differently?

c) Find the average rates of change of each population as t changes from:

0 to 1 A___ B___

1 to 2 A___ B___

2 to 3 A___ B___

3 to 4 A___ B___

d) For which population does the statement "the population grew consistently at a rate of 125 million per year" convey accurrate information? Why?

(Please show all of your work)

  

Population (in millions) 500- 400- P 300- 200 100- 0 (1,320) (3,375) (2,250) (1,125) A 1 3 2 Time (in years) (3,190) (4,500) B 4 Note: Graph not drawn to scale.