Edexcel Mathematics June 2022 · Paper 1 · Question 5 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

June 2022 · Paper 1 · Question 5 · 6 marks

5. The height, h metres, of a tree, t years after being planted, is modelled by the equation h2 = at + b 0  t < 25 where a and b are constants. Given that • the height of the tree was 2.60 m, exactly 2 years after being planted • the height of the tree was 5.10 m, exactly 10 years after being planted (a) find a complete equation for the model, giving the values of a and b to 3 significant figures. (4) Given that the height of the tree was 7 m, exactly 20 years after being planted (b) evaluate the model, giving reasons for your answer. (2) 11

Lesson: Laws of Indices