1. By: Mr. Kanauss Algebra teacher at Monongahela Middle School

2.  Think to yourself what your dream job would be  It could be any profession you want  It could be working for any person you want  The galaxy is the limit  Write down what your dream job is at the top of your page.  I will be giving you this job for 30 days!!

3.  You have to decide what payment option you would like for your paycheck: 1. One cent on the first day, two cents on the second day, and double your salary every day thereafter for the thirty days; or 2. Exactly $5,000,000. (That's five million dollars!)

4.  How many of you are jumping out of your seat for the $5,000,000/mo.?  I would be if I were you!!!  I must be a moron or something  Or am I?!?!?  Let’s find out…

5.  Let’s look at the first payment option Paycheck with the first option – Week 1 Day No.Pay for the DayTotal pay in $$ 1.01 2.02.03 3.04.07 4.08.15 5.16.31 6.32.63 7.641.27

6.  So, for one week of work, you have earned $1.27!!!  If you work a 40 hour week (which is normal work week), how much have you made per hour??  So far, how do you like this payment plan??  Does anyone want to change their mind and go with the $5,000,000/mo.??

7.  Let’s look at the second week’s pay… Paycheck with the first option – Week 2 Day No.Pay for the DayTotal pay in $$ 81.282.55 92.565.11 105.1210.23 1110.2420.47 1220.4840.95 1340.9681.91 1481.92163.83

8.  So after 2 weeks we are up to $163.83.  If you work a 40 hour week (which is normal work week), how much have you made per hour??  Now, how do you like this payment plan??  Does anyone want to change their mind and go with the $5,000,000/mo.??

9.  Let’s look at the third week’s pay Paycheck with the first option – Week 3 Day No.Pay for the DayTotal pay in $$ 15163.84327.67 16327.68655.35 17655.361,310.71 181,310.722,621.43 192,621.445,242.87 205,242.8810,485.75 2110,485.7620,971.51

10.  So after 3 weeks we are up to $20,971.51.  If you work a 40 hour week (which is normal work week), how much have you made per hour??  Now, how do you like this payment plan??  Does anyone want to change their mind and go with the $5,000,000/mo.??

11.  Let’s see how we are looking after four weeks! Paycheck with the first option – Week 4 Day No.Pay for the DayTotal pay in $$ 2220,971.5241,943.03 2341,943.0483,886.07 2483,886.08167,772.15 25167,772.16335,544.31 26335,544.32671,088.63 27671,088.641,342,177.27 281,342,177.282,684,354.55

12.  So after 4 weeks we are up to $2,684,354.55!!  That’s well over 2 million dollars!!  If you work a 40 hour week (which is normal work week), how much have you made per hour??  Now, how do you like this payment plan??  Does anyone want to change their mind and go with the $5,000,000/mo.??  Guess what?!?! Here’s the good news…

13.  We still have the last 2 days!! Paycheck with the first option – Last 2 days! Day No.Pay for the DayTotal pay in $$ 292,684,354.565,368,709.11 305,368,709.1210,737,418.23

14.  In 30 days, it increases from 1 penny to over 10 million dollars. That is absolutely amazing!!  This mathematical relationship is known as an exponential relationship.  Here is the graph!  Equation:  Total Pay = 2 n - 1

15.  Here is what 1,003,776 pennies ($10,037.76) looks like

16.  Here is what 10,017,024 pennies ($100,170.24) looks like

17.  Here is what 100,016,640 pennies ($1,000,166.40) looks like –think of a whale here

18.  Here’s what 1,000,018,176 pennies ($10,000,181.76) looks like

19.  10 billion pennies - $100,000,235.52

20.  One Hundred Billion Pennies - $1,000,000,000.00

21.  Two Hundred Billion Pennies - $2,000,000,000.00

22.  One trillion pennies - $10,000,000,000.00

23.  1.8 trillion pennies 2.6 trillion pennies

24.  1 quadrillion pennies 1 quintillion pennies