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+bt2where a a\,a and b b\,b are constants,
find the value of a a\,a and the value of bbb.
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.)
Practise AQA A Level Maths 1.12 I: Numerical methods (A-level only) with exam-style questions for A Level Maths. 107 questions covering 1.12.1 Locating roots by change of sign (A-level only), 1.12.2 Iterative methods and Newton-Raphson (A-level only), 1.12.3 Numerical integration (A-level only), and 1.12.4 Numerical methods in context (A-level only), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
