Edexcel Mathematics June 2024 · Paper 2 · Question 13 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

June 2024 · Paper 2 · Question 13 · 9 marks

13. The world human population, P billions, is modelled by the equation P = abt where a and b are constants and t is the number of years after 2004 Using the estimated population figures for the years from 2004 to 2007, a graph is plotted of log10P against t. The points lie approximately on a straight line with • gradient 0.0054 • intercept 0.81 on the log10P axis (a) Estimate, to 3 decim al places, the value of a and the value of b. (4) In the context of the model, (b) (i) interpret the value of the constant a, (ii) interpret the value of the constant b. (2) (c) Use the model to estimate the world human population in 2030 (2) (d) Comment on the reliability of the answer to part (c). (1) 37

Lesson: Exponential Functions and Their Graphs