A study explores the relationship between the basal metabolic rate, RRR (measured in Watts), and the body mass, mmm (measured in kilograms), of various mammals. A graph of log10R\log_{10} Rlog10R against log10m\log_{10} mlog10m is found to be a straight line. Data for two specific mammals are plotted as points on this line: Mammal A at (0.35,1.22)(0.35, 1.22)(0.35,1.22) and Mammal B at (2.75,3.14)(2.75, 3.14)(2.75,3.14).
Find the equation of the straight line in the form
log10R=a+blog10m \log_{10} R = a + b \log_{10} m log10R=a+blog10mwhere aaa and bbb are constants to be found.
Show that R=KmnR = Km^nR=Kmn, where KKK and nnn are constants to be determined.
A different mammal has a basal metabolic rate of approximately 250 Watts. Use your answer to part (a)(ii) to find an estimate for the body mass mmm of this mammal.
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.