Friday, 21 October 2016

Math Problem of the Week

Zombies have arrived! Officials are strongly advising people to remain in their homes and away from anyone who may be infected. Infected people turn into zombies and must infect one other person each day to stay alive. An antidote is currently undergoing clinical trials, but will not be ready for use for 30 days. It all started with one zombie which arrived one day, then infected one other person on the second day. On the third day, each of those zombies infected one other person, and so on.
a) The Centre for Zombie Control (CZC) needs to know how many people are going to be affected. How many zombies should they expect to be roaming around at the end of each day for the next two weeks?
b) How many zombies will there be by the time the antidote is ready?
c) If the antidote is ineffective, on what day will the population of zombies exceed that of the people on earth?

僵尸已经来临!官员们强烈建议人们留在自己的家园,远离任何人谁可能被感染。感染的人变成僵尸和感染,必须另外一个人每天活路。解毒剂目前正在进行临床试验,但是将不准备使用30天。这一切都开始与抵达的一天,然后感染一人在第二个每天一僵尸。第三天,其中每个僵尸感染了另外一个人,等等。
 a)中心的僵尸控制(CZC)需要知道有多少人会受到影响。他们应该有多少僵尸期望能够在每一天结束了,未来两周左右漫游?
B)有多少僵尸会有的解毒剂准备时间吗?
c)如果解药是无效的,什么一天将僵尸的人口超过了地球人的