A group of survivors on a supply run has returned to their base camp with a population of 2000. Two of them were bitten by zombies but didn’t tell anyone. If it is assumed that the rate at which the virus spreads is proportional not only to the number x of infected people but also to the number of people not infected, determine the number of infected residents after 14 days if it is further observed that after 6 days, 50 residents got infected. What is the time at which half of the population will become infected if nothing is done? How many people will be NOT be infected after 2 weeks if nothing is done? A rescue helicopter saved 40 survivors. How long did they have to survive?
A group of survivors on a supply run has returned to their base camp with a population of 2000. Two of them were bitten by zombies but didn’t tell anyone. If it is assumed that the rate at which the virus spreads is proportional not only to the number x of infected people but also to the number of people not infected, determine the number of infected residents after 14 days if it is further observed that after 6 days, 50 residents got infected. What is the time at which half of the population will become infected if nothing is done? How many people will be NOT be infected after 2 weeks if nothing is done? A rescue helicopter saved 40 survivors. How long did they have to survive?
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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A group of survivors on a supply run has returned to their base camp with a population of 2000. Two of them were bitten by zombies but didn’t tell anyone. If it is assumed that the rate at which the virus spreads is proportional not only to the number x of infected people but also to the number of people not infected, determine the number of infected residents after 14 days if it is further observed that after 6 days, 50 residents got infected. What is the time at which half of the population will become infected if nothing is done? How many people will be NOT be infected after 2 weeks if nothing is done? A rescue helicopter saved 40 survivors. How long did they have to survive?
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Step 1: Given and basic information
VIEWStep 2: Algebraic expression for y(t)
VIEWStep 3: Use given conditions to find R and k
VIEWStep 5: a) t = ? for y = 1000.
VIEWStep 6: b) Not infected people after 2 weeks, i.e. 2000-y(14)
VIEWStep 7: c) t = ? for y = 1960 or 40 non infected persons.
VIEWStep 8: graphical presentation
VIEW
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