The population of a bacterial colony, PPP, is being monitored in a laboratory. The number of bacteria is modelled by the equation
log10P=2+0.04t \log_{10} P = 2 + 0.04t log10P=2+0.04twhere t t\,t is the time in hours after monitoring began.
Use the equation of the model to answer parts (a) and (b).
Find the initial population of the bacterial colony.
After T T\,T hours, the population reaches 500. Find the value of TTT, giving your answer to 2 decimal places.
Practise Edexcel A Level Maths Exponential Models with exam-style questions for A Level Maths. 42 questions, 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.
