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March 25, 2017

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Video game company hires gamers to test a new adventure game. The number of levels completed by an average gamer is given by L = 60/(3+17e^-0.1t) where L is the number of levels completed after t hours of playing.

a) How many levels is a gamer expected to be able to complete when he is first hired? (If a gamer has not yet tested the game, he played 0 hours.)

b) How many hours would an average gamer need to play the game to complete 10 levels?

  • algebra - ,

    a)
    L = 60/(3+17e^-0.1t)

    Substitute t=0, remember that any number to the power 0=1

    b)

    L = 60/(3+17e^-0.1t)

    substitute L=10

    10=60/(3+17e^-0.1t)

    3+17e^-0.1t=6

    17e^-0.1t = 3

    e^-0.1t=3/17

    ln(e^-0.1t)=ln(3/17)

    -0.1t=ln(3/17)=-1.7346

    0.1t=1.7346

    t=17.346 hours

    But check the maths!

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