Instantaneous rate of growth


The population P (in thousands) of Belgium from 1992 to 2000 is shown in the table. (Midyear estimates are given.)

(a) Find the average rate of growth

(i) From 1992 to 1996
(ii) From 1994 to 1996
(iii) From 1996 to 1998

In each case, include the units.

(b) Estimate the instantaneous rate of growth in 1996 by taking the average of two average rates of change. What are its units?

(c) Estimate the instantaneous rate of growth in 1996 by measuring the slope of a tangent.

Year    1992      1994    1996    1998    2000

P        10036    10109  10152   10175  10186

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Mathematics: Instantaneous rate of growth
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