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1.10 Numerical Methods (A-level only)

1.10 Numerical Methods (A-level only)

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Question 56

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

1.10 Numerical Methods (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.10 Numerical Methods (A-level only)

137 exam-style questions on OCR (MEI) A Level Maths 1.10 Numerical Methods (A-level only), covering 1.10.1 Locate roots by change of sign (A-level only), 1.10.2 When change of sign methods fail (A-level only), 1.10.3 Fixed point iteration (A-level only), 1.10.4 Newton-Raphson method (A-level only), 1.10.5 Convergence of iterations (A-level only), 1.10.6 Trapezium rule (A-level only), 1.10.7 Upper and lower bounds using rectangles (A-level only), and 1.10.8 Numerical methods to solve problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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