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F. A virus will typically spread exponentially at first if there is no immunization available. Each infected person can infect multiple new people. SARS (Severe Acute Respiratory Syndrome) and Ebola are two such viruses whose impact to affected areas can be devastating. Knowing the rate at which they typically spread is important when you are trying to contain and treat an outbreak. Suppose you are working at an international aid organization and there are simultaneous outbreaks of SARS and Ebola. Your organization has only enough resources to travel to and help in one location. Do you rush to help the SARS infected community or the Ebola? There have been 30 cases reported in the SARS outbreak so far and SARS has an infection rate of 4% per day. Ebola, meanwhile, has only been reported in one person. The infection rate for Ebola is 11% per day. How many people will become infected with each after 15 days? Use the function f(x) = i. (r + 1)* i: initial infected amount r: infection rate as a decimal x: amount of days

F. A virus will typically spread exponentially at first if there is no immunization available. Each infected person can infect multiple new people. SARS (Severe Acute Respiratory Syndrome) and Ebola are two such viruses whose impact to affected areas can be devastating. Knowing the rate at which they typically spread is important when you are trying to contain and treat an outbreak. Suppose you are working at an international aid organization and there are simultaneous outbreaks of SARS and Ebola. Your organization has only enough resources to travel to and help in one location. Do you rush to help the SARS infected community or the Ebola? There have been 30 cases reported in the SARS outbreak so far and SARS has an infection rate of 4% per day. Ebola, meanwhile, has only been reported in one person. The infection rate for Ebola is 11% per day. How many people will become infected with each after 15 days? Use the function f(x) = i. (r + 1)* i: initial infected amount r: infection rate as a decimal x: amount of days

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please explain how to answer this question and only solve part f (step by step), no other section.

Viral Growth Medical scientists have studied 3 new types of viral infections, with three distinct methods of growth in a population. The Master Maker Virus starts with one master vampire. Each day, the master vampire creates 30 more vampires (these new vampire cannot make someone else a vampire). The Bubonic Buddy Virus has one infected person infect one other person each day. Every single person with the virus will keep infecting someone new each day. The Super Grouper virus will infect clusters of groups based on the day. On the first day, it has 1 group of 1 infected person. One the second day it has 2 que groups of 2 infected people each. On the third day, it has 3 groups of 3 infected people in each. A. Fill out the following charter with pictures that show the total number of infected people for each virus Master Maker Bubonic Buddy Super Grouper Day 1 F(1) = 30x f(x) = (31 on day 1) (2 on day 1) f(₁) = 1x Day 2 (1 on day 1) Which virus do you think will be the most dangerous to a population? Explain Why? Day 3 teilw 738 ૪ સર્ક ds a 180
Transcribed Image Text:Viral Growth Medical scientists have studied 3 new types of viral infections, with three distinct methods of growth in a population. The Master Maker Virus starts with one master vampire. Each day, the master vampire creates 30 more vampires (these new vampire cannot make someone else a vampire). The Bubonic Buddy Virus has one infected person infect one other person each day. Every single person with the virus will keep infecting someone new each day. The Super Grouper virus will infect clusters of groups based on the day. On the first day, it has 1 group of 1 infected person. One the second day it has 2 que groups of 2 infected people each. On the third day, it has 3 groups of 3 infected people in each. A. Fill out the following charter with pictures that show the total number of infected people for each virus Master Maker Bubonic Buddy Super Grouper Day 1 F(1) = 30x f(x) = (31 on day 1) (2 on day 1) f(₁) = 1x Day 2 (1 on day 1) Which virus do you think will be the most dangerous to a population? Explain Why? Day 3 teilw 738 ૪ સર્ક ds a 180
B. Fill out the following table Day: Master Maker Bubonic Buddy Super Grouper 1 31 2 1 2 61 MM(x) = BB(x) = ________- SG(x) = = 3 91 4 5 6 7 8 9 What is the x / input/ independent variable?: What is the y/output/ dependent variable? : C. On graph paper, create 3 lines/curves for the 3 virus types. Use x-values / inputs 1-8. Make sure to pick a y-scale big enough to fit all of the outputs D. What functions model the virus types? (Hint: Linear) (Hint: x could be a base or exponent) (Hint: x could be a base or exponent) E. How many infected people will there be for each virus after 1 month? Show your work but you may use a calculator. F. A virus will typically spread exponentially at first if there is no immunization available. Each infected person can infect multiple new people. SARS (Severe Acute Respiratory Syndrome) and Ebola are two such viruses whose impact to affected areas can be devastating. Knowing the rate at which they typically spread is important when you are trying to contain and treat an outbreak. Suppose you are working at an international aid organization and there are simultaneous outbreaks of SARS and Ebola. Your organization has only enough resources to travel to and help in one location. Do you rush to help the SARS infected community or the Ebola? There have been 30 cases reported in the SARS outbreak so far and SARS has an infection rate of 4% per day. Ebola, meanwhile, has only been reported in one person. The infection rate for Ebola is 11% per day. How many people will become infected with each after 15 days? Use the function f(x) =i (r + 1)* i: initial infected amount r: infection rate as a decimal x: amount of days
Transcribed Image Text:B. Fill out the following table Day: Master Maker Bubonic Buddy Super Grouper 1 31 2 1 2 61 MM(x) = BB(x) = ________- SG(x) = = 3 91 4 5 6 7 8 9 What is the x / input/ independent variable?: What is the y/output/ dependent variable? : C. On graph paper, create 3 lines/curves for the 3 virus types. Use x-values / inputs 1-8. Make sure to pick a y-scale big enough to fit all of the outputs D. What functions model the virus types? (Hint: Linear) (Hint: x could be a base or exponent) (Hint: x could be a base or exponent) E. How many infected people will there be for each virus after 1 month? Show your work but you may use a calculator. F. A virus will typically spread exponentially at first if there is no immunization available. Each infected person can infect multiple new people. SARS (Severe Acute Respiratory Syndrome) and Ebola are two such viruses whose impact to affected areas can be devastating. Knowing the rate at which they typically spread is important when you are trying to contain and treat an outbreak. Suppose you are working at an international aid organization and there are simultaneous outbreaks of SARS and Ebola. Your organization has only enough resources to travel to and help in one location. Do you rush to help the SARS infected community or the Ebola? There have been 30 cases reported in the SARS outbreak so far and SARS has an infection rate of 4% per day. Ebola, meanwhile, has only been reported in one person. The infection rate for Ebola is 11% per day. How many people will become infected with each after 15 days? Use the function f(x) =i (r + 1)* i: initial infected amount r: infection rate as a decimal x: amount of days
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