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Numerical Methods

Numerical Methods

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Question 54

The number of users on a new social media platform was tracked over several years.

Exactly 4 years after tracking began, the number of users was 42 000.

Exactly 8 years after tracking began, the number of users was 56 000.

Given that the number of users, U U\,U thousand, t t\,t years after tracking began can be modelled by the equation

U2=a+bt2 U^2 = a + bt^2 U2=a+bt2

where a a\,a and b b\,b are constants,

a.

find the value of a a\,a and the value of bbb.

[4]
b.

According to the model, exactly T T\,T years after tracking began, the number of users was 75 000.

Making your method clear,

find the value of TTT, giving your answer to one decimal place.

(Solutions relying entirely on calculator technology are not acceptable.)

[3]
Markscheme

Numerical Methods Questions

  1. A Level
  2. /Maths
  3. /Numerical Methods

80 exam-style questions on Edexcel A Level Maths Numerical Methods, covering 10.1 Locating Roots, 10.2 Iteration, 10.3 The Newton-Raphson Method, and 10.4 Applications to Modelling. Each one has a worked solution and a mark scheme showing where the marks go.

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