A zombie infection in France has prompted the World Health Organization to organize and administer zombie antidotes to infected populations...
A zombie infection in France has prompted the World Health Organization to organize and administer zombie antidotes to infected populations. But the Zombie virus is spreading at an exponential rate and the W.H.O can only administer antidotes at a constant rate. The zombie population can be modeled with the equation Z(t)=1.325^t where Z(t) is the number of infected zombies in France aftet t months. The W.H.O can produce and administer 2,000 antidotes each month. a) During which times are there more zombies than antidotes? b) During which times are there more antidotes than zombies?
How would I model the problem with a system of equation???
How would I model the problem with a system of equation???
Z(t) > 2000 when the Zombies outnumber the antidotes.
1.325t > 2000
ln 1.325t > ln 2000
t ln 1.325 > ln 2000
0.281t > 7.60
t > 27
The Zombies take over in 27 months. Better hurry!
~wyzant.com
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