Michael's car is valued after 2 years and after 5 years. V=Ae−ktV = Ae^{-kt}V=Ae−kt.
| Time (years) | 2 | 5 |
|---|---|---|
| Value (£) | 47200 | 29200 |
Explain what the value of A A\,A represents.
Show that lnV=lnA−kt\ln V = \ln A - ktlnV=lnA−kt
Calculate the value of A A\,A and the value of kkk
Use the model to predict the value of the car after 10 years.
Practise Edexcel A Level Maths Exponentials and Logarithms with exam-style questions for A Level Maths. 41 questions covering 14.1 Exponential Functions, 14.2 y = e^x, 14.3 Exponential Modelling, 14.4 Logarithms, 14.5 Laws of Logarithms, 14.6 Solving Equations using Logarithms, 14.7 Working with Natural Logarithms, and 14.8 Logarithms and Non-Linear Data, matched to the Edexcel A Level Maths (9MA0) 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.
