Posted by Nabil on .
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 
Dr Russ,
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!