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whatevs

Can someone please help me?? A lottery winner must decide between two methods of payment. Choice one is to receive a lump sum of $100,000,000. Choice two is to begin with one cent on day 1, four cents on day 2, 16 cents on day three, and so on until the end of 18 days. Which choice should the lottery winner select? Using complete sentences, explain the procedure taken to answer this question.

  • 2 years ago
  • 2 years ago

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  1. ktklown
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    Do you know how to use exponents, e.g. 2^3?

    • 2 years ago
  2. whatevs
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    yes..

    • 2 years ago
  3. ktklown
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    What's the equation for the amount of money that the person gets on Day X?

    • 2 years ago
  4. whatevs
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    ...?

    • 2 years ago
  5. ktklown
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    Each day that goes by he gets 4 times as much money as the last one. So that looks like an exponential function, rigth?

    • 2 years ago
  6. ktklown
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    What exponential function gives you f(0) = 1, f(1) = 4, f(2) = 16?

    • 2 years ago
  7. whatevs
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    2

    • 2 years ago
  8. ktklown
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    It has to have an X in it to represent the day number

    • 2 years ago
  9. whatevs
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    2^x

    • 2 years ago
  10. ktklown
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    if x=1, what's 2^x? What about if x=2?

    • 2 years ago
  11. whatevs
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    if x=1then2^x is 2, if x=2 then 2^x = 4

    • 2 years ago
  12. ktklown
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    ok, that doesn't seem right then, right? We wanted when x=1, it's 1, and when x=2, it's 4

    • 2 years ago
  13. ktklown
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    so try again, can you think of a function that goes up by a factor of 4 each time?

    • 2 years ago
  14. whatevs
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    4

    • 2 years ago
  15. ktklown
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    4? You need an X for it to be a function

    • 2 years ago
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