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1.6.8 Reduction to linear form

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Question 29

A telecommunications engineer is investigating the signal intensity, $S$ (measured in picowatts), at a distance $d$ (measured in metres) from a radio transmitter. The relationship is modelled by $S = ad^b$ , where $a\,$ and $b\,$ are constants.

A graph shows a linear relationship between $log_{10} S$ and $log_{10} d$ . The line passes through the points $(1, 8)$ and $(4, 2)$ .

Find an equation linking $log_{10} S$ with $log_{10} d$ .

[3]

Hence, or otherwise, express $S\,$ in the form $ad^b$ , where $a\,$ and $b\,$ are constants to be found.

[2]

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 29

A graph shows a linear relationship between $log_{10} S$ and $log_{10} d$ . The line passes through the points $(1, 8)$ and $(4, 2)$ .

Find an equation linking $log_{10} S$ with $log_{10} d$ .

[3]

Hence, or otherwise, express $S\,$ in the form $ad^b$ , where $a\,$ and $b\,$ are constants to be found.

[2]

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.