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2.5.4 Data presentation and interpretation

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Question 40

A telecommunications engineer is modeling the signal strength, $S$ microvolts, of a transmitter at a distance $x$ km. A plot of $log_{10} S$ against $x$ produces a straight line $l$ .

The line $l$ passes through the points $(0, 3.42)$ and $(12, 1.02)$ .

Write down an equation for $l$ .

[2]

Hence, or otherwise, express $S$ in the form $kb^x$ , giving the values of the constants $k$ and $b$ to 3 significant figures.

[3]

Markscheme

2.5.4 Data presentation and interpretation Questions

A Level
Maths
2.5.4 Data presentation and interpretation

42 exam-style questions on CCEA A Level Maths 2.5.4 Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.

2.5.4 Data presentation and interpretation

Question bank

2.5.4 Data presentation and interpretation

Easy Medium

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Question 40

A telecommunications engineer is modeling the signal strength, $S$ microvolts, of a transmitter at a distance $x$ km. A plot of $log_{10} S$ against $x$ produces a straight line $l$ .

The line $l$ passes through the points $(0, 3.42)$ and $(12, 1.02)$ .

Write down an equation for $l$ .

[2]

Hence, or otherwise, express $S$ in the form $kb^x$ , giving the values of the constants $k$ and $b$ to 3 significant figures.

[3]

Markscheme

2.5.4 Data presentation and interpretation Questions

A Level
Maths
2.5.4 Data presentation and interpretation

42 exam-style questions on CCEA A Level Maths 2.5.4 Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.