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1.9 Numerical Methods (A-level only)

1.9 Numerical Methods (A-level only)

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Question 58

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

1.9 Numerical Methods (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.9 Numerical Methods (A-level only)

125 exam-style questions on OCR A Level Maths 1.9 Numerical Methods (A-level only), covering 1.9.1 Locating roots by sign change (A-level only), 1.9.2 Failure of sign change methods (A-level only), 1.9.3 Simple iterative methods (A-level only), 1.9.4 Newton-Raphson method (A-level only), 1.9.5 Failure of iterative methods (A-level only), 1.9.6 Numerical integration (A-level only), and 1.9.7 Numerical methods in context (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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