Edexcel A-Level Mathematics A2 P3.3.1 Function Ex and Its Graph Questions

Use exponential models to read initial values, evaluate quantities at specified times and sketch curves with their horizontal asymptotes.

Exam points

Read initial values and evaluate exponential models at specified times.
Sketch exponential curves and state their horizontal asymptotes.

[Maximum number: 1]

A scientist is studying a population of fish in a lake. The number of fish, N, in the population, t years after the start of the study, is modelled by the equation

N=\frac{600 \mathrm{e}^{0.3 t}}{2+\mathrm{e}^{0.3 t}} \quad t \geqslant 0

Use the equation of the model to answer parts (a), (b), (c), (d) and (e).

Find the number of fish in the lake at the start of the study.

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Edexcel A-Level Mathematics A2 P3.3.1 Function Ex and Its Graph Questions question 1