Question

Theodore works for Mr. Jones. Mr. Jones agreed to start Theodore at $.01 the first day, $.02 the second day, $.04 the third day, $.08 the fourth day, and so on.

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a. How much does Theodore earn in fifteen days?

b. Suppose Theodore can start at $10 the first day, $10.75 the second day, $11.50 the third day, $12.25 the fourth day, and so on. Would he earn more in fifteen days than he does in part(a)? Explain.

Answer 1

Well, it looks like the amount increases by x2.
So just multiply by 2 until day 15

Day 4: 0.8
0.8 x 2 = 0.16
Day 5: 0.16
0.16 x 2 = 0.32
Day 6: 0.32
From here you should know what to do and I'll skip the long math
Day 15: 163.84

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Part B
The difference in change for these number is about x1.07 so multiply by 1.07 till day 15.
Again I'll avoid the extra long math
Day 15: 25.78
He would not earn more in 15 days than part a