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1.6.8 Reduction to linear form

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Question 16

The signal intensity, $S$ (measured in nanowatts), of a specialized acoustic transducer is monitored during a calibration phase. The intensity is modelled by the equation

log_{10} S = 0.64 + 0.035h

where $h\,$ 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.

[2]

After $T\,$ minutes, the signal intensity reaches 480 nanowatts. Find the value of $T$ , giving your answer to 2 decimal places.

[3]

Markscheme

1.6.8 Reduction to linear form Questions

A Level
Maths
1.6.8 Reduction to linear form

42 exam-style questions on OCR A Level Maths 1.6.8 Reduction to linear form. Each one has a worked solution and a mark scheme showing where the marks go.

1.6.8 Reduction to linear form

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1.6.8 Reduction to linear form

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Question 16

The signal intensity, $S$ (measured in nanowatts), of a specialized acoustic transducer is monitored during a calibration phase. The intensity is modelled by the equation

log_{10} S = 0.64 + 0.035h

where $h\,$ 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.

[2]

After $T\,$ minutes, the signal intensity reaches 480 nanowatts. Find the value of $T$ , giving your answer to 2 decimal places.

[3]

Markscheme

1.6.8 Reduction to linear form Questions

A Level
Maths
1.6.8 Reduction to linear form

42 exam-style questions on OCR A Level Maths 1.6.8 Reduction to linear form. Each one has a worked solution and a mark scheme showing where the marks go.