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The table below gives the population in a small coastal community for the period

ID: 3169310 • Letter: T

Question

The table below gives the population in a small coastal community for the period 1990 - 1999. Figures shown are for January 1 in each year.

Year 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999

Population 617 850 1349 1563 1595 1478 958 832 764 750

(a). What was the average rate of change of population between 1991 and 1994?

(b). What was the average rate of change of population between 1995 and 1997?

(c). For what period of time was the population increasing?

From

to

(d). For what period of time was the population decreasing?

From

to

Note: For (c) and (d), give the starting and ending years for the periods where the population was increasing/decreasing.

Explanation / Answer

a) average rate of change between 1991 to 1994 is

(1595 - 850 ) / 3

= 745/3

b) between 1995 to 1997

( 832 - 1478 ) / 2

= -323

c) population is increasing from 1990 to 1994

d) population is decreasing from 1995 to 1999

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