Strange behaviour at Carleton
University last week has been
linked to a new virus, called Overwijkitis,
being researched in university labs.
University officials are strongly advising that students remain in their
homes and away from anyone who may be infected.
Those who have been infected can be distinguished from others by a
distinct red mark on their hands. Anyone
with these red marks is infected.
Zombies infect one other person per day in order to stay
alive. It is expected that the virus
will spread next to neighboring towns and cities.
Zombies Present in Local High Schools: Due to the high number of Carleton
University students who live in the
Glebe neighbourhood, Glebe students have been quarantined in their classrooms
to decrease the chance of Overwijkitis
spreading to the rest of Glebe. Students
in math classes may be at a higher risk, since the virus has been extremely
active amongst math teachers at Carleton
U.
Classes that should be extremely cautious are Ms. Bernstein's, Mr.
Overwijk's (in particular), Mr. Phillip’s as well as Mr. Needham's classes.
Initially
there were 3 students with the Overwijkitis
virus. The virus was first discovered at Glebe only on day 4 of the infection.
Create a graph, table and equation to model the situation. Assume the day of infection
is DAY 0. What patterns did you see when
filling in the tables and writing equations? Do Zombie Attacks appear to be
linear or exponential? Why?
State
all of the following characteristics: X Intercepts (a.k.a.Roots, Zeros), Y
Intercept, Domain, Range, End Behaviour Maximum / Minimum Point(s), Intervals
of increase, Intervals of decrease, Intervals of concave up, Intervals of
concave down, Inflection Point(s), Asymptotes
How many students were infected with the virus when it was
first discovered at Glebe?
If there
are 170 Advanced Functions students, how many days until they are all infected?
Figure
out when all of GCI (1475 students) is
infected.
One
Overwijkitis infected student had the
idea of switching the axes of the graph drawn. Draw the new graph.
For
the new graph state all of the following characteristics: X Intercepts (a.k.a.Roots, Zeros), Y
Intercept, Domain, Range, End Behaviour Maximum / Minimum Point(s), Intervals
of increase, Intervals of decrease, Intervals of concave up, Intervals of
concave down, Inflection Point(s), Asymptotes
Here is the student work:
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