Gce Model Questions Vol1 2020 Agricultural Science Question 28

Practice objective / multiple choice question 28 from the 2020 Gce Model Questions Vol1 Agricultural Science examination.

Gce Model Questions Vol1 2020 Agricultural Science Objective / Multiple Choice Medium Difficulty
Question 28 GCE_MODEL_QUESTIONS_VOL1 • 2020 • AGRICULTURAL_SCIENCE • objective

In a pest population the proportion of individuals resistant to a pesticide increases each generation by a constant factor \(k\). After 3 generations the resistant proportion is \(30\%\) and after 5 generations it is \(70\%\). (i) Find the initial resistant proportion (generation 0) and the growth factor \(k\). (ii) Using these values, after how many generations will the resistant proportion exceed \(90\%\)? Give the smallest whole number of generations.

Answer Options

A. Initial proportion ≈ 7.5 % (0.075), growth factor k ≈ 1.60; resistant proportion exceeds 90 % after 5 generations.
Correct Answer B. Initial proportion ≈ 8.4 % (0.084), growth factor k ≈ 1.53; resistant proportion exceeds 90 % after 6 generations.
C. Initial proportion ≈ 10.2 % (0.102), growth factor k ≈ 1.45; resistant proportion exceeds 90 % after 7 generations.
D. Initial proportion ≈ 9.0 % (0.090), growth factor k ≈ 1.50; resistant proportion exceeds 90 % after 8 generations.
Correct Answer
B
Correct Option:
Initial proportion ≈ 8.4 % (0.084), growth factor k ≈ 1.53; resistant proportion exceeds 90 % after 6 generations.

About This Question

This is Gce Model Questions Vol1 2020 Agricultural Science Question 28. It is one of the objective questions from the 2020 Gce Model Questions Vol1 Agricultural Science examination.

Difficulty level: Medium .

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