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1.6 Exponentials and logarithms

1.6 Exponentials and logarithms

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Question 49

The growth of a population of insects in a laboratory is being monitored. The total number of insects, NNN, at time ttt weeks after the start of the study is modelled by the equation

log⁡10N=2.15+0.26t \log_{10} N = 2.15 + 0.26t log10​N=2.15+0.26t
a.

Write this equation in the form N=abtN = ab^tN=abt, where aaa and bbb are constants to be found. Give each value to 4 significant figures.

[3]
b.

When t=Tt = Tt=T, the population of insects is 8000. Find the value of TTT according to the model, giving your answer to 3 significant figures.

[3]
c.

The laboratory space can accommodate a maximum of 25,000 insects. Determine whether or not the population will exceed this limit within the first 8 weeks of the study.

[3]
Markscheme

1.6 Exponentials and logarithms Questions

  1. A Level
  2. /Maths
  3. /1.6 Exponentials and logarithms

104 exam-style questions on WJEC A Level Maths 1.6 Exponentials and logarithms, covering 1.6.1 Exponentials and logarithms, 1.6.2 Exponentials and logarithms, 1.6.3 Exponentials and logarithms, 1.6.4 Exponentials and logarithms, 1.6.5 Exponentials and logarithms, 1.6.6 Exponentials and logarithms, 1.6.7 Exponentials and logarithms, 1.6.8 Exponentials and logarithms, and 1.6.9 Exponentials and logarithms. Each one has a worked solution and a mark scheme showing where the marks go.

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