Reported cultism incidents in a region over the past five years were: Year 1 = 120, Year 2 = 150, Year 3 = 180, Year 4 = 210, Year 5 = 240. Assuming a constant linear increase, the projected number of incidents for Year 6 would be 270. The government introduces a prevention programme that reduces the annual increase by $20\%$ starting in Year 6.

Calculate:
(i) the projected number of incidents for Year 6 and Year 7 under the programme,
(ii) the total reduction in the number of incidents over Years 6‑10 compared with the original linear projection without the programme.

Question

Reported cultism incidents in a region over the past five years were: Year 1 = 120, Year 2 = 150, Year 3 = 180, Year 4 = 210, Year 5 = 240. Assuming a constant linear increase, the projected number of incidents for Year 6 would be 270. The government introduces a prevention programme that reduces the annual increase by $20\%$ starting in Year 6.

Calculate:
(i) the projected number of incidents for Year 6 and Year 7 under the programme,
(ii) the total reduction in the number of incidents over Years 6‑10 compared with the original linear projection without the programme.

Accepted Answer

Year 6 = 264; Year 7 = 288; reduction = 90

Gce Model Questions Vol1 2024 Civic Education Question 3

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