The table gives the population in a small coastal community

The table gives the population in a small coastal community for the period 1997 - 2006. Figures shown are for January 1 each year. (a) What was die average rate of change of population between 199S and 2000? (b) What was the average rate of change of population between 2002 and 2006? (c) For what period of time was the population increasing? The population was increasing from until (d) For what period of time was the population decreasing? The population was decreasing from until Between 1980 and 2000, a rare book collector purchased books for his collection at the rate of 50 books per year. Use this information to complete the following table. The table gives the population in a small coastal community for the period 1997 - 2006. Figures shown are for January 1 each year. (a) What was die average rate of change of population between 199S and 2000? (b) What was the average rate of change of population between 2002 and 2006? (c) For what period of time was the population increasing? The population was increasing from until (d) For what period of time was the population decreasing? The population was decreasing from until Between 1980 and 2000, a rare book collector purchased books for his collection at the rate of 50 books per year. Use this information to complete the following table.

Solution

1) a) average rate of change between 1998 and 2000

= (population in 2000 - population in 1998 ) / 2000 - 1998

= 1578 - 856 / 2

= 361

b) average rate of change between 2002 and 2006

= population in 2006 - population in 2002 / 2006 - 2002

= 745 - 1483 / 4

= - 184.5

c) populatin is increasing from 1998 to 2001

d) population is decreasing from 2002 to 2006