A physics researcher is investigating the relationship between the intensity of light, yyy, and the distance, xxx, from a specialized laser source. The researcher finds that there is a linear relationship between log10y\log_{10} ylog10y and log10x\log_{10} xlog10x. The line representing this relationship passes through the points (1,7)(1, 7)(1,7) and (4,1)(4, 1)(4,1).
Determine an equation linking log10y\log_{10} ylog10y with log10x\log_{10} xlog10x.
Hence, or otherwise, express yyy in the form pxqpx^qpxq, where ppp and qqq are constants to be found.
278 exam-style questions on CCEA A Level Maths 2.5 Data presentation and interpretation, covering 2.5.1 Data presentation and interpretation, 2.5.2 Data presentation and interpretation, 2.5.3 Data presentation and interpretation, 2.5.4 Data presentation and interpretation, 2.5.5 Data presentation and interpretation, 2.5.6 Data presentation and interpretation, 2.5.7 Data presentation and interpretation, 2.5.8 Data presentation and interpretation, 2.5.9 Data presentation and interpretation, and 2.5 Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.