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itsmichelle29

  • one year ago

A video game sets the points needed to reach the next level based on the function g(x) = 10(2)x − 1, where x is the current level. The hardest setting promises to multiply the points needed in each level according to the function h(x) = 2x. How many points will a player need on the hardest setting of level 5? 10 points 160 points 1600 points 16000 points

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  1. Michele_Laino
    • one year ago
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    can you make a drawing of the formula your function, please?

  2. itsmichelle29
    • one year ago
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    |dw:1437411413433:dw|

  3. Michele_Laino
    • one year ago
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    sorry I don't understand your formula: g(x) = 10(2)x − 1

  4. Michele_Laino
    • one year ago
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    is your formula like this: \[\Large g\left( x \right) = 10 \times {2^{x - 1}}\]

  5. itsmichelle29
    • one year ago
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    yup like that

  6. itsmichelle29
    • one year ago
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    @Michele_Laino

  7. Michele_Laino
    • one year ago
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    the points needed to reach the fifth level are: \[\Large g\left( 5 \right) = 10 \times {2^{5 - 1}} = 10 \times {2^4} = 10 \times 16 = ...\] the hardest setting multiply those points by \[\Large h\left( 5 \right) = 2 \times 5 = 10\] so the requested poiints are: \[\Large g\left( 5 \right) \times h\left( 5 \right) = ...?\]

  8. itsmichelle29
    • one year ago
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    correct

  9. Michele_Laino
    • one year ago
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    hint: \[\Large g\left( 5 \right) \times h\left( 5 \right) = 160 \times 10 = ...?\]

  10. itsmichelle29
    • one year ago
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    i added an extra zero

  11. Michele_Laino
    • one year ago
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    correct!

  12. Michele_Laino
    • one year ago
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    that's right! It is 1600

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