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2. Zombie Apocalypse

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					Exponential and Logarithmic Models                                   Name _________________
1. SAT Consider this model of math scores for the 1997 SAT math scores

                         y  0.0036e( x511)                   , 200  x  800
                                                   2
                                                       /25088


Use your graphing calculator to sketch a graph of this curve. (Hint: set the Ymax to 0.005)




2. Zombie Apocalypse On a college campus of 5000 students one student returns from vacation as
a contagious zombie. The spread of the zombie virus is modeled by

                                                    5000
                                         y
                                               1  4999e0.8t
Where t is the number of days since the introduction of the virus.

a. How many students are infected after 5 days?

b. The college will cancel classes when 40% or more of the students become zombies. After how many
days will the college cancel classes?
3. Fruit Flies In a research experiment, a population of fruit flies is increasing according to the law of
exponential growth. After 2 days there are 100 flies, and after 4 days there are 300 flies. How many flies
will there be after 5 days. Use the model y  aebt




4. Population The population P of a city is P  105,300e
                                                                0.015t
                                                                   where t = 0 represents the year
2000. According to this model when will the population reach 150,000?




5. Bacteria Growth The number of bacteria N in a culture is modeled by N  100e where t is the
                                                                                        kt

time in hours. If N = 300 when t =5 estimate the time required for the population to double in size.

				
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posted:3/24/2013
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