, Examine the tables below and answer the questions that follow. Table A Table B Year 0 1 2 3 4 5 6 Amount $1,200.00 $1,284.00 $1,373.88 $1,470.05 $1,572.95 $1,683.06 ? Year 2013 2014 2015 2016 2017 2018 2019 Amount $1,050.33 $1,118.00 $1,185.67 $1,253.34 $1,321.01 ? $1,456.35

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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Please help with 3 and 4
**Examine the tables below and answer the questions that follow.**

### Table A
| Year | Amount  |
|------|---------|
| 0    | $1,200.00 |
| 1    | $1,284.00 |
| 2    | $1,373.88 |
| 3    | $1,470.05 |
| 4    | $1,572.95 |
| 5    | $1,683.06 |
| 6    | ?         |

### Table B
| Year | Amount   |
|------|----------|
| 2013 | $1,050.33 |
| 2014 | $1,118.00 |
| 2015 | $1,185.67 |
| 2016 | $1,253.34 |
| 2017 | $1,321.01 |
| 2018 | ?          |
| 2019 | $1,456.35 |

**Questions:**

a) Which table has linear growth? ______ ; Which table has exponential growth? ______

b) For the table with exponential growth, what is the growth factor? __________

c) What amount goes with year 6 in table A? __________

d) What amount goes with year 2018 in table B? __________

---

**4. A box of forty 16-ounce bottles of water sells for $29.99. A package of six 16-ounce bottles of water of the same brand sells for $4.99.**

a) Which is the better buy, 40 bottles or 6 bottles? __________________

b) What is the unit rate (to the nearest cent) for the better buy? __________________

*(continued on next page)*
Transcribed Image Text:**Examine the tables below and answer the questions that follow.** ### Table A | Year | Amount | |------|---------| | 0 | $1,200.00 | | 1 | $1,284.00 | | 2 | $1,373.88 | | 3 | $1,470.05 | | 4 | $1,572.95 | | 5 | $1,683.06 | | 6 | ? | ### Table B | Year | Amount | |------|----------| | 2013 | $1,050.33 | | 2014 | $1,118.00 | | 2015 | $1,185.67 | | 2016 | $1,253.34 | | 2017 | $1,321.01 | | 2018 | ? | | 2019 | $1,456.35 | **Questions:** a) Which table has linear growth? ______ ; Which table has exponential growth? ______ b) For the table with exponential growth, what is the growth factor? __________ c) What amount goes with year 6 in table A? __________ d) What amount goes with year 2018 in table B? __________ --- **4. A box of forty 16-ounce bottles of water sells for $29.99. A package of six 16-ounce bottles of water of the same brand sells for $4.99.** a) Which is the better buy, 40 bottles or 6 bottles? __________________ b) What is the unit rate (to the nearest cent) for the better buy? __________________ *(continued on next page)*
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