1. The amount of money, A(t), in dollars, that Shujana has in her bank account after t months is given by A(t) = 3t³ - 3t + 21. a) Determine the average rate of change between i) month 1 and month 2 ii) month 2 and month 3 iii) Compare the two rates of change from i) and ii). What does this represent in the given situation?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
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1. The amount of money, A(t), in dollars, that Shujana has in her bank account after t
months is given by A(t) = 3t³ - 3t + 21.
a) Determine the average rate of change between
i) month 1 and month 2
ii) month 2 and month 3
iii) Compare the two rates of change from i) and i). What does this represent in the
given situation?
b) Estimate the instantaneous rate of change after 4 months. Explain what the value
represents in this situation.
Transcribed Image Text:1. The amount of money, A(t), in dollars, that Shujana has in her bank account after t months is given by A(t) = 3t³ - 3t + 21. a) Determine the average rate of change between i) month 1 and month 2 ii) month 2 and month 3 iii) Compare the two rates of change from i) and i). What does this represent in the given situation? b) Estimate the instantaneous rate of change after 4 months. Explain what the value represents in this situation.
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