Neco 2021 Biology Question 48

Practice objective / multiple choice question 48 from the 2021 Neco Biology examination.

Neco 2021 Biology Objective / Multiple Choice Hard Difficulty
Question 48 NECO • 2021 • BIOLOGY • objective

In a closed community of 10,000 people, an infectious disease spreads according to the exponential model \(N(t)=N_0 e^{kt}\). On day 0 there are 20 cases and on day 5 there are 160 cases. (a) Determine the daily growth constant \(k\). (b) If the average infectious period is 4 days, compute the basic reproduction number \(R_0 = e^{k\times\text{infectious period}}\). (c) Using the herd‑immunity threshold formula \(H = 1 - \frac{1}{R_0}\), calculate the minimum proportion of the population that must be immunised to prevent an epidemic.

Answer Options

A. k = 0.500, R0 = 7.39, H = 0.86
B. k = 0.350, R0 = 4.05, H = 0.75
Correct Answer C. k = 0.416, R0 = 5.27, H = 0.81
D. k = 0.300, R0 = 3.32, H = 0.70
Correct Answer
C
Correct Option:
k = 0.416, R0 = 5.27, H = 0.81

About This Question

This is Neco 2021 Biology Question 48. It is one of the objective questions from the 2021 Neco Biology examination.

Difficulty level: Hard .

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support