Neco Model Questions Vol1 2025 Mathematics Question 3

Practice essay / theory question 3 from the 2025 Neco Model Questions Vol1 Mathematics examination. This question covers Indices, Surds, Logarithms, Exponential equations .

Neco Model Questions Vol1 2025 Mathematics Essay / Theory

Topics: Indices Surds Logarithms Exponential equations

Question 3 NECO_MODEL_QUESTIONS_VOL1 • 2025 • MATHEMATICS • essay

The number of bacteria in a culture after t hours is given by \[ Q = \frac{3\,2^{t}}{\sqrt{2^{\,t+2}}} \] where Q is the population (in millions).

Question Parts

( a )

Simplify the expression for Q so that it is written as \( Q = k\,2^{m}\) where k is a rational number and m is expressed in terms of t.

( b )

If the population after t hours is 24 million, determine the value of t (in hours) correct to two decimal places.

( c )

Find the initial population (at t = 0) and comment on whether the bacteria are increasing or decreasing with time.

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About This Question

This is Neco Model Questions Vol1 2025 Mathematics Question 3. It is one of the essay questions from the 2025 Neco Model Questions Vol1 Mathematics examination.

The question covers Indices, Surds, Logarithms, Exponential equations .

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