The amount of a specific bacteria in a culture, BBB, is modelled by the formula
B=pqt B = pq^t B=pqtwhere ppp and qqq are constants and ttt is the number of hours after the measurement began at 12:00 PM. A graph of log10B\log_{10} Blog10B against ttt is plotted based on data from the first 4 hours. The data points follow a straight line with a gradient of 0.12 and a vertical intercept on the log10B\log_{10} Blog10B axis of 1.45.
Determine the value of ppp and the value of qqq according to the model, rounding your answers to two decimal places.
Provide a practical interpretation of the constant ppp in the context of this model.
Use the model to estimate the bacteria count at 8:00 PM on the same day.
Practise Edexcel A Level Maths Regression, Correlation and Hypothesis Testing with exam-style questions for A Level Maths. 202 questions covering Exponential Models, Measuring Correlation, and Hypothesis Testing for Zero Correlation, 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.
