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1.6.8 Reduction to linear form

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Question 25

A physics researcher is investigating the relationship between the intensity of light, $y$ , and the distance, $x$ , from a specialized laser source. The researcher finds that there is a linear relationship between $log_{10} y$ and $log_{10} x$ . The line representing this relationship passes through the points $(1, 7)$ and $(4, 1)$ .

Determine an equation linking $log_{10} y$ with $log_{10} x$ .

[2]

Hence, or otherwise, express $y$ in the form $px^q$ , where $p$ and $q$ are constants to be found.

[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 25

Determine an equation linking $log_{10} y$ with $log_{10} x$ .

[2]

Hence, or otherwise, express $y$ in the form $px^q$ , where $p$ and $q$ are constants to be found.

[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.