A certain disease has a basic reproduction number (R0) of 3. If one infected person enters a population of 1000, how many people could potentially be infected after one generation? (2021)
Practice Questions
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Q1
A certain disease has a basic reproduction number (R0) of 3. If one infected person enters a population of 1000, how many people could potentially be infected after one generation? (2021)
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If R0 = 3, then 1 infected person can infect 3 others. Therefore, potential infections = 3 * 1 = 3 people.
Questions & Step-by-step Solutions
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Q
Q: A certain disease has a basic reproduction number (R0) of 3. If one infected person enters a population of 1000, how many people could potentially be infected after one generation? (2021)
Solution: If R0 = 3, then 1 infected person can infect 3 others. Therefore, potential infections = 3 * 1 = 3 people.
Steps: 6
Step 1: Understand what R0 means. R0 (basic reproduction number) indicates how many people one infected person can infect.
Step 2: Note the value of R0 given in the question, which is 3.
Step 3: Since R0 is 3, this means that one infected person can infect 3 other people.
Step 4: Calculate the potential number of new infections by multiplying the number of infected people (1) by R0 (3).
Step 5: Perform the calculation: 1 infected person * 3 = 3 potential new infections.
Step 6: Conclude that after one generation, 3 people could potentially be infected.