Waec Model Questions Vol1 2017 Agricultural Science Question 29

Practice objective / multiple choice question 29 from the 2017 Waec Model Questions Vol1 Agricultural Science examination.

Waec Model Questions Vol1 2017 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 29 WAEC_MODEL_QUESTIONS_VOL1 • 2017 • AGRICULTURAL_SCIENCE • objective

Adoption of a new pest‑resistant maize variety follows the logistic model \(P(t)=\dfrac{K}{1+ae^{-bt}}\), where \(P(t)\) is the percentage adoption at year \(t\), \(K=80\%\) is the maximum attainable adoption, and \(a,b\) are constants. At the start (\(t=0\)) adoption is 5 %. After 3 years adoption has risen to 30 %. (a) Determine the growth constant \(b\) (to two decimal places). (b) Using this value, estimate the year when adoption will reach 70 % (give the answer to one decimal place).

Answer Options

A. b ≈ 0.80 per year; 70 % adoption at ≈ 7.2 years
B. b ≈ 0.65 per year; 70 % adoption at ≈ 5.9 years
Correct Answer C. b ≈ 0.73 per year; 70 % adoption at ≈ 6.4 years
D. b ≈ 0.73 per year; 70 % adoption at ≈ 5.0 years
Correct Answer
C
Correct Option:
b ≈ 0.73 per year; 70 % adoption at ≈ 6.4 years

About This Question

This is Waec Model Questions Vol1 2017 Agricultural Science Question 29. It is one of the objective questions from the 2017 Waec Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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