The influence of a pressure group is measured by the index

$$ I = 0.5\log_{10}(\text{Members}) + 0.3\log_{10}(\text{Funding in million naira}) + 0.2(\text{MediaScore}), $$

where MediaScore is out of 100.

Group A has $50{,}000$ members, funding of $20$ million naira and a MediaScore of $70$.
Group B has $200{,}000$ members, funding of $5$ million naira and a MediaScore of $85$.

Calculate the influence index for each group, state which group has the higher influence, and give the numerical difference between the two indices (rounded to two decimal places).

Question

The influence of a pressure group is measured by the index

$$ I = 0.5\log_{10}(\text{Members}) + 0.3\log_{10}(\text{Funding in million naira}) + 0.2(\text{MediaScore}), $$

where MediaScore is out of 100.

Group A has $50{,}000$ members, funding of $20$ million naira and a MediaScore of $70$.  
Group B has $200{,}000$ members, funding of $5$ million naira and a MediaScore of $85$.

Calculate the influence index for each group, state which group has the higher influence, and give the numerical difference between the two indices (rounded to two decimal places).

Accepted Answer

Group B is higher: I_B ≈ 19.86, I_A ≈ 16.74; difference ≈ 3.12 points.

Gce Model Questions Vol1 2017 Government Question 35

Answer Options

About This Question

Master the Exam!