13. The resting metabolic rate, R ml of oxygen consumed per hour, of a particular species of mammal is modelled by the formula, R = aMb where M grams is the mass of the mammal a and b are constants a) Show that this relationship can be written in the form log1o R = b logio M + logio a 10g10 R 4 (1.8, 1.9) (0.7, 1.2) O 10g10 M Figure 3 ( 2 ) A student gathers data for R and M and plots a graph of logio R against logio M The graph is a straight line passing through points (0.7, 1.2) and (1.8, 1.9) as shown in Figure 3. (b) Using this information, find a complete equation for the model. Write your answer in the form R = aMb giving the value of each of a and b to 3 significant figures. (3) (c) With reference to the model, interpret the value of the constant a (1) (Total for Question 13 is 6 marks) 30