Reported cult‑related incidents in State X were $120$ in 2019, $156$ in 2020 and $210$ in 2021. At the start of 2020 the government launched an anti‑cult programme that is claimed to reduce the annual growth rate of incidents by $25\%$ relative to the trend that existed before the programme.\n\n(a) Determine the average annual growth rate of incidents for the period 2019-2021 (before the programme's effect).\n(b) Using the claimed reduction, calculate the expected number of incidents for 2022 if the programme works as advertised.\n(c) The actual number of incidents reported in 2022 was $190$. Did the programme achieve its target reduction? Justify your answer with a brief calculation.

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Yes; expected 261 incidents, actual 190, so the programme exceeded the target reduction.

Neco Model Questions Vol1 2024 Civic Education Question 39

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