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2. Examine the tables below and answer the questions that follow. . Table A Year 0 1 2 3 4 5 6 Amount $500 $710 $920 $1,130 $1,340 ? $1,760 Table B I Year Amount 2013 $1,125.00 2014 $1,203.75 2015 $1,288.01 2016 $1,378.17 2017 $1,474.64 2018 $1,577.86 ? 2019 ; Which table has exponential growth? a) Which table has linear growth? b) For the table with exponential growth, what is the growth factor?

2. Examine the tables below and answer the questions that follow. . Table A Year 0 1 2 3 4 5 6 Amount $500 $710 $920 $1,130 $1,340 ? $1,760 Table B I Year Amount 2013 $1,125.00 2014 $1,203.75 2015 $1,288.01 2016 $1,378.17 2017 $1,474.64 2018 $1,577.86 ? 2019 ; Which table has exponential growth? a) Which table has linear growth? b) For the table with exponential growth, what is the growth factor?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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### Examining Linear and Exponential Growth #### Tables Overview **Table A** | Year | Amount | |------|--------| | 0 | $500 | | 1 | $710 | | 2 | $920 | | 3 | $1,130 | | 4 | $1,340 | | 5 | ? | | 6 | $1,760 | **Table B** | Year | Amount | |------|----------| | 2013 | $1,125.00 | | 2014 | $1,203.75 | | 2015 | $1,288.01 | | 2016 | $1,378.17 | | 2017 | $1,474.64 | | 2018 | $1,577.86 | | 2019 | ? | ### Questions a) Which table has linear growth? ______ ; Which table has exponential growth? ______ b) For the table with exponential growth, what is the growth factor? ______ ### Explanation of Growth Types - **Linear Growth** occurs when the amount increases by a constant difference over equal intervals. - **Exponential Growth** occurs when the amount increases by a constant factor over equal intervals.
Transcribed Image Text:### Examining Linear and Exponential Growth #### Tables Overview **Table A** | Year | Amount | |------|--------| | 0 | $500 | | 1 | $710 | | 2 | $920 | | 3 | $1,130 | | 4 | $1,340 | | 5 | ? | | 6 | $1,760 | **Table B** | Year | Amount | |------|----------| | 2013 | $1,125.00 | | 2014 | $1,203.75 | | 2015 | $1,288.01 | | 2016 | $1,378.17 | | 2017 | $1,474.64 | | 2018 | $1,577.86 | | 2019 | ? | ### Questions a) Which table has linear growth? ______ ; Which table has exponential growth? ______ b) For the table with exponential growth, what is the growth factor? ______ ### Explanation of Growth Types - **Linear Growth** occurs when the amount increases by a constant difference over equal intervals. - **Exponential Growth** occurs when the amount increases by a constant factor over equal intervals.
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