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1.1 Exponential Models

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Question 21

A telecommunications engineer is investigating the signal intensity, SSS (measured in picowatts), at a distance ddd (measured in metres) from a radio transmitter. The relationship is modelled by S=adbS = ad^bS=adb, where a a\,a and b b\,b are constants.

A graph shows a linear relationship between log⁡10S\log_{10} Slog10​S and log⁡10d\log_{10} dlog10​d. The line passes through the points (1,8)(1, 8)(1,8) and (4,2)(4, 2)(4,2).

a.

Find an equation linking log⁡10S\log_{10} Slog10​S with log⁡10d\log_{10} dlog10​d.

[3]
b.

Hence, or otherwise, express S S\,S in the form adbad^badb, where a a\,a and b b\,b are constants to be found.

[2]
Markscheme

1.1 Exponential Models Questions

  1. A Level
  2. /Maths
  3. /1.1 Exponential Models

42 exam-style questions on Edexcel A Level Maths 1.1 Exponential Models. Each one has a worked solution and a mark scheme showing where the marks go.

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