Q4. The following set of data represents the number of families (n) moving into a new town as a function of time (t) in years. 4 8 10 12 14 16 28 59 145 260 295 403 452 577 653 n a) Determine the average rate of change of the population: i) between 0 and 6 years ii) between 8 and 14 years b) Determine the approximate instantaneous rate of change exactly at 10 years by using an appropriate interval strategy. Clearly state what method you use.

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
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Q4. The following set of data represents the number of families (n) moving into a new town as a
function of time (t) in years.
2
4
6
10
12
14
16
n
28
59
145
260
295
403
452
577
653
a) Determine the average rate of change of the population:
i) between 0 and 6 years
ii) between 8 and 14 years
b) Determine the approximate instantaneous rate of change exactly at 10 years by using an appropriate
interval strategy. Clearly state what method you use.
c) Determine the approximate instantaneous rate of change exactly at 16 years by using an appropriate
interval strategy.
Transcribed Image Text:Q4. The following set of data represents the number of families (n) moving into a new town as a function of time (t) in years. 2 4 6 10 12 14 16 n 28 59 145 260 295 403 452 577 653 a) Determine the average rate of change of the population: i) between 0 and 6 years ii) between 8 and 14 years b) Determine the approximate instantaneous rate of change exactly at 10 years by using an appropriate interval strategy. Clearly state what method you use. c) Determine the approximate instantaneous rate of change exactly at 16 years by using an appropriate interval strategy.
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