Algebra Problem

Question

You have the choice of working for either Company A or Company B. Company A will give $100 per day of work for up to two weeks of work. Company B will start you at $1 on the first day, but will double that amount for each day that you work ($1 for one day of work, $2 for two days of work, $4 for three days of work...) for up to two weeks of work. Which company would be the best to work for and why? (**HINT: create a table for the two different companies) 

Answer 1

• Day #: Total pay for Company A | Total pay for Company B

 

• Day 1: $100 | $1
• Day 2: $200 | $2
• Day 3: $300 | $4
• Day 4: $400 | $8
• Day 5: $500 | $16
• Day 6: $600 | $32
• Day 7: $700 | $64
• Day 8: $800 | $128
• Day 9: $900 | $256
• Day 10: $1000 | $512
• Day 11: $1100 | $1024
• Day 12: $1200 | $2048
• Day 13: $1300 | $4096
• Day 14: $1400 | $8192

 

Company B is clearly the better choice :)