Homework Help: math !!!! :O

Posted by evelyn on Monday, March 14, 2011 at 4:59pm.

Emily’s dad pays her for picking strawberries. Each hour she works he increases her pay. The first hour she earns two cents, the second hour she earns four cents, the third hour eight cents, and so on, doubling the amount each hour. How much money will she earn if she works six hours? How much money will she earn after ten hours? How many hours will she need to work to earn at least $5.00?

math !!!! :O - Ms. Sue, Monday, March 14, 2011 at 5:07pm
Hour 1: 0.02
Hour 2: 0.04
Hour 3: 0.08
Hour 4: 0.16
Hour 5: 0.32
Hour 6: 0.64

Add these 6 numbers together to find your first hour.

Keep doubling the preceding number to find the other two answers.
math !!!! :O - anomyous, Monday, March 14, 2011 at 5:19pm
what do u mean by add your six numbers to get your first hour.
math !!!! :O - Ms. Sue, Monday, March 14, 2011 at 5:35pm
Sorry -- it should add those numbers to find your first ANSWER.
math !!!! :O - Evangelise, Monday, March 14, 2011 at 5:36pm
thanks i figured it out
math !!!! :O - Reiny, Monday, March 14, 2011 at 5:37pm
your numbers form a geometric sequence where
a = .02
r = 2

Term(6) = ar^5 = .02(2^5) = .02(32) = .64
term(10) = ar^9 = .02(2^9) = .02(512) = 10.24

ar^(n-1) > 5.00
.02(2)^(n-1) > 5
2^(n-1) > 250

I know 2^7 = 128 and 2^8 = 256

so what do you think?

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