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.
202 exam-style questions on Edexcel A Level Maths Regression, Correlation and Hypothesis Testing, covering 1.1 Exponential Models, 1.2 Measuring Correlation, and 1.3 Hypothesis Testing for Zero Correlation. Each one has a worked solution and a mark scheme showing where the marks go.