Two experiments measuring the population of insects are started at the same time. PA=ae0.2tP_A = ae^{0.2t}PA=ae0.2t and PB=be0.15tP_B = be^{0.15t}PB=be0.15t. At the start (t=0t=0t=0) total is 120. After 8 days (t=8t=8t=8) total is 480.
Show that a=50a = 50a=50, to the nearest whole number, and find the value of bbb.
Estimate the total number of insects after 10 days.
Find the day that the number of insects in experiment A exceed the number of insects in experiment B.
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.
