An environmental scientist monitors the concentration, C C\,C parts per million (ppm), of a specific chemical pollutant in a reservoir over time t t\,t months. The scientist identifies a linear relationship between log10C\log_{10} Clog10C and ttt. The line representing this relationship passes through the points (2.4,1.82)(2.4, 1.82)(2.4,1.82) and (6.4,0.42)(6.4, 0.42)(6.4,0.42).
Determine the equation for the relationship between log10C\log_{10} Clog10C and ttt.
Hence, or otherwise, express C C\,C in the form kbtkb^tkbt, giving the values of the constants k k\,k and b b\,b to 3 significant figures.
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.