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.
278 exam-style questions on CCEA A Level Maths 2.5 Data presentation and interpretation, covering 2.5.1 Data presentation and interpretation, 2.5.2 Data presentation and interpretation, 2.5.3 Data presentation and interpretation, 2.5.4 Data presentation and interpretation, 2.5.5 Data presentation and interpretation, 2.5.6 Data presentation and interpretation, 2.5.7 Data presentation and interpretation, 2.5.8 Data presentation and interpretation, 2.5.9 Data presentation and interpretation, and 2.5 Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.