Name

Please complete all questions below. If you are using the Word document, you may insert your answers after the question. If you are using the PDF document, include your answers on a separate page making sure to clearly label each question. Make sure to show your work for each question as unsupported answers will not receive credit.

Would you rather...

Option $1$

Option $2$

start working with a $$10,000$

start working with a savings account bonus and then have your with a quarter in it and your boss boss pay you $$10,000$ per day for $3$ full weeks double it each day for $3$ full weeks including weekends including weekends? $($Assume the doubling starts on day $1.)$

Before starting any work, make a guess. Tell me your choice and WHY you chose this option. Support your guess with information you have learned in this section.

For both scenarios:

a$.$ Identify each scenario as either linear or exponential.

b$.$ Create a general equation for each scenario.

Use the equations you found in part $2$ to determine how much you would be making after working $7$ days in both scenarios.

Use the equations from part $2$ to determine how much you would be making after working $14$ days in both scenarios.

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.$)$

Did you guess correctly? Tell me why or why not.

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!

What if only Sundays were excluded $($i$.$e$.$ your boss was paying you or doubling your account $6$ days a week$)?$ Which scenario would you choose then? Make sure to show the work you use to make your decision!