Jonathan is investigating the spread of a virus measured by the number of daily recorded cases NNN. He believes N=AektN = Ae^{kt}N=Aekt.
Express lnN \ln N\,lnN in terms of ttt
Plot lnN \ln N\,lnN against t t\,t for this data:
| ttt | 8 | 11 | 18 |
|---|---|---|---|
| NNN | 12 | 24 | 90 |
Using the graph, estimate the value of A A\,A and the value of kkk.
Practise AQA A Level Maths 1.9 F: Exponentials and logarithms with exam-style questions for A Level Maths. 37 questions covering 1.9.1 Exponential functions and their graphs, 1.9.2 Gradient of e^kx (A-level only), 1.9.3 Logarithms as inverse functions, 1.9.4 Laws of logarithms, 1.9.5 Solving exponential equations, 1.9.6 Logarithmic graphs to estimate parameters (A-level only), and 1.9.7 Exponential growth and decay, 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.
