The signal intensity, SSS (measured in nanowatts), of a specialized acoustic transducer is monitored during a calibration phase. The intensity is modelled by the equation
log10S=0.64+0.035h \log_{10} S = 0.64 + 0.035h log10S=0.64+0.035hwhere h h\,h is the time in minutes after calibration began.
Use the equation of the model to answer parts (a) and (b).
Find the initial signal intensity of the transducer, giving your answer to 2 decimal places.
After T T\,T minutes, the signal intensity reaches 480 nanowatts. 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.
