# algebra

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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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