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The following set of data represents the number of families (n) moving into a new town as a function of time (1) in years. 0 2 59 4 6 8 10 12 14 16 28 145 260 295 403 452 577 653 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.

The following set of data represents the number of families (n) moving into a new town as a function of time (1) in years. 0 2 59 4 6 8 10 12 14 16 28 145 260 295 403 452 577 653 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.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 14 6 260 8 295 10 12 16 n 28 59 145 403 452 577 653 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: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 14 6 260 8 295 10 12 16 n 28 59 145 403 452 577 653 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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