Mathematics 4024 · O Level · Exponential growth and decay

Exponential growth and decay — practice question

A town’s population falls exponentially by x% each year. It was 120000 on 1 January 2020, and by 1 January 2023 it had reduced to 102885.
(a)[3]

Find x.

(b)[3]

Following 1 January 2023, the town’s population begins to grow exponentially at a rate of 1.6% per year. Find the year in which the population on 1 January first exceeds 120000.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “\(102885=120000\times k^3\)​” …

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