Neco Model Questions Vol1 2021 Civic Education Question 25

Practice objective / multiple choice question 25 from the 2021 Neco Model Questions Vol1 Civic Education examination.

Neco Model Questions Vol1 2021 Civic Education Objective / Multiple Choice Hard Difficulty
Question 25 NECO_MODEL_QUESTIONS_VOL1 • 2021 • CIVIC_EDUCATION • objective

The Corruption Perception Index (CPI) for a country over five consecutive years is: Year 1 = 45, Year 2 = 48, Year 3 = 50, Year 4 = 53, Year 5 = 57 (scale 0-100, higher = less corruption). The government asserts that the annual increase in CPI follows a quadratic model \(CPI = a t^{2} + b t + c\), where \(t\) is the number of years since Year 1 (\(t=0\) for Year 1). Assuming the model fits exactly the first three years, determine:\n1. The predicted CPI for Year 6 (\(t=5\)).\n2. The average annual percentage decrease in perceived corruption (i.e., the reduction in \(100 - CPI\)) from Year 1 to Year 6 based on the predicted CPI, expressed to two decimal places. Provide both results.

Answer Options

A. CPI = 52; average annual decrease ≈ 1.65%
B. CPI = 48; average annual decrease ≈ 2.05%
C. CPI = 55; average annual decrease ≈ 1.30%
Correct Answer D. CPI = 50; average annual decrease ≈ 1.82%
Correct Answer
D
Correct Option:
CPI = 50; average annual decrease ≈ 1.82%

About This Question

This is Neco Model Questions Vol1 2021 Civic Education Question 25. It is one of the objective questions from the 2021 Neco Model Questions Vol1 Civic Education examination.

Difficulty level: Hard .

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