Question

Betty wants you to work her garden for 5 days. She is offering these two payment options.
Option 1: The first day, you will make $6, the second day you will make double that amount, the third day you will double the previous day’s salary, and so on.
Option 2: She will pay $200 at the end of the week.
Which option pays more money?

Answer 1

Option 1:

Let x be the amount she makes the first day.

1rst day: x
2nd day: 2x
3rd day: 4x
4th day: 8x
5th day: 16x

We know x is 6. Solve for x.

Answer 2

Then, add them up.

Answer 3

option 2

Answer 4

Correct.