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Question 1

Rabbits were introduced onto an island. The number of rabbits, PPP, t t\,t years after they were introduced is modelled by the equation

P=80e15t,t∈R,t≥0. P = 80e^{\frac{1}{5}t}, \quad t \in \mathbb{R}, \quad t \geq 0. P=80e51​t,t∈R,t≥0.
a.

Write down the number of rabbits that were introduced to the island.

[1]
b.

Find the smallest whole number of years after introduction at which the model predicts more than 1000 rabbits.

[2]
c.

Find dPdt\displaystyle \frac{dP}{dt}dtdP​.

[2]
d.

Find P P\,P when dPdt=50\displaystyle \frac{dP}{dt} = 50dtdP​=50.

[3]
Markscheme

Logs Questions

  1. A Level
  2. /Old Maths
  3. /Logs

7 exam-style questions on Edexcel A Level Old Maths Logs. Each one has a worked solution and a mark scheme showing where the marks go.

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