Would you rather... Option 1 start working with a $10,000 bonus and then have your boss pay you $10,000 per day for 3 full weeks including weekends or Option 2 start working with a savings account with a quarter in it and your boss double it each day for full weeks including weekends? 1. Before starting any work, make a guess. Tell me your choice and WHY you chose this optic Support your guess with information you have learned in this section. 2. For both scenarios: a. Identify each scenario as either linear or exponential. b. Create a general equation for each scenario. 3. Use the equations you found in part 2 to determine how much you would be making after working 7 days in both scenarios. 4. Use the equations from part 2 to determine how much you would be making after working 14 days in both scenarios. 5. Calculate the total sum collected by both scenarios at the end of the 3 weeks. Clearly identify the value in each account at the end of 3 weeks. (Hint: Create a table of values for both functions and then add.) 6. Did you guess correctly? Tell me why or why not. 7. What if weekends were not included (i.e. your boss was only paying you or doubling your account 5 days a week)? Would you still choose the same scenario? Make sure to show the work you use to make your decision! 8. What if only Sundays were excluded (i.e. your boss was paying you or doubling your accour 6 days a week)? Which scenario would you choose then? Make sure to show the work you use to make your decision!
Would you rather... Option 1 start working with a $10,000 bonus and then have your boss pay you $10,000 per day for 3 full weeks including weekends or Option 2 start working with a savings account with a quarter in it and your boss double it each day for full weeks including weekends? 1. Before starting any work, make a guess. Tell me your choice and WHY you chose this optic Support your guess with information you have learned in this section. 2. For both scenarios: a. Identify each scenario as either linear or exponential. b. Create a general equation for each scenario. 3. Use the equations you found in part 2 to determine how much you would be making after working 7 days in both scenarios. 4. Use the equations from part 2 to determine how much you would be making after working 14 days in both scenarios. 5. Calculate the total sum collected by both scenarios at the end of the 3 weeks. Clearly identify the value in each account at the end of 3 weeks. (Hint: Create a table of values for both functions and then add.) 6. Did you guess correctly? Tell me why or why not. 7. What if weekends were not included (i.e. your boss was only paying you or doubling your account 5 days a week)? Would you still choose the same scenario? Make sure to show the work you use to make your decision! 8. What if only Sundays were excluded (i.e. your boss was paying you or doubling your accour 6 days a week)? Which scenario would you choose then? Make sure to show the work you use to make your decision!
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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Transcribed Image Text:Would you rather...
Option 1
start working with a $10,000
bonus and then have your
boss pay you $10,000 per
day for 3 full weeks
including weekends
or
Option 2
start working with a savings
account with a quarter in it and
your boss double it each day for
full weeks including weekends?
1. Before starting any work, make a guess. Tell me your choice and WHY you chose this optic
Support your guess with information you have learned in this section.
2. For both scenarios:
a. Identify each scenario as either linear or exponential.
b. Create a general equation for each scenario.
3. Use the equations you found in part 2 to determine how much you would be making after
working 7 days in both scenarios.
4.
Use the equations from part 2 to determine how much you would be making after working
14 days in both scenarios.
5.
Calculate the total sum collected by both scenarios at the end of the 3 weeks. Clearly
identify the value in each account at the end of 3 weeks. (Hint: Create a table of values for
both functions and then add.)
6. Did you guess correctly? Tell me why or why not.
7. What if weekends were not included (i.e. your boss was only paying you or doubling your
account 5 days a week)? Would you still choose the same scenario? Make sure to show the
work you use to make your decision!
8. What if only Sundays were excluded (i.e. your boss was paying you or doubling your accour
6 days a week)? Which scenario would you choose then? Make sure to show the work you
use to make your decision!
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