We are modelling the spread of the zombie virus throughout our class, and notice that it grows exponentially if not contained. In your vast biological knowledge, you note that the doubling time (i.e., the number of days it takes the cumulative number of cases to double in size) of the zombie virus is approximately 3.5 days. Suppose we are interested in the spread of the virus in our class (if we were all contained in a very large lecture hall, of course), where theinstructors are initially infected (there are 10 instructors, for reference). (a) Use the exponential function C(t) = C0e^(rt) to determine r, the growth rate of the zombie virus. Your answer should be given in the most exact representation (i.e., not a decimal). (b) Our coordinator, Dr. James, determines that the zombie virus will be classified as an outbreak in our classroom if 25% of the class becomes infected (for reference, there are 2500 students and instructors combined in CALC1000). If the virus is allowed to continually spread, how long will it take for a zombie virus outbreak to occur?
We are modelling the spread of the zombie virus throughout our class, and notice that it grows exponentially if not contained. In your vast biological knowledge, you note that the doubling time (i.e., the number of days it takes the cumulative number of cases to double in size) of the zombie virus is approximately 3.5 days. Suppose we are interested in the spread of the virus in our class (if we were all contained in a very large lecture hall, of course), where theinstructors are initially infected (there are 10 instructors, for reference).
(a) Use the exponential function C(t) = C0e^(rt) to determine r, the
growth rate of the zombie virus. Your answer should be given in the most
exact representation (i.e., not a decimal).
(b) Our coordinator, Dr. James, determines that the zombie virus
will be classified as an outbreak in our classroom if 25% of the class becomes
infected (for reference, there are 2500 students and instructors combined
in CALC1000). If the virus is allowed to continually spread, how long will
it take for a zombie virus outbreak to occur?
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