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Exponentials and Logarithms

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Question 103

Jonathan is investigating the spread of a virus measured by the number of daily recorded cases NNN. He believes N=AektN = Ae^{kt}N=Aekt.

a.

Express ln⁡N \ln N\,lnN in terms of ttt

[2]
b.

Plot ln⁡N \ln N\,lnN against t t\,t for this data:

ttt61218
NNN71428

A blank graph for plotting ln N against t, with t from 0 to 20 and ln N from 0 to 5.

[2]
c.

Find the gradient of your line.

[2]
d.

Using the graph, estimate the value of A A\,A and the value of kkk.

[3]
Markscheme

Exponentials and Logarithms Questions

  1. A Level
  2. /Maths
  3. /Exponentials and Logarithms

277 exam-style questions on Edexcel A Level Maths Exponentials and Logarithms, covering 14.1 Exponential Functions, 14.2 y = e^x, 14.3 Exponential Modelling, 14.4 Logarithms, 14.5 Laws of Logarithms, 14.6 Solving Equations using Logarithms, 14.7 Working with Natural Logarithms, and 14.8 Logarithms and Non-Linear Data. Each one has a worked solution and a mark scheme showing where the marks go.

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