Turn over 29 Question 12 continued _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ (Total for Question 12 is 9 marks) 30 13. 2.25 log10 h O log10 m Figure 2 The resting heart rate, h, of a mammal, measured in beats per minute, is modelled by the equation h = pm q where p and q are constants and m is the mass of the mammal measured in kg. Figure 2 illustrates the linear relationship between log10 h and log10 m The line meets the vertical log10 h axis at 2.25 and has a gradient of –0.235 (a) Find, to 3 significant figures, the value of p and the value of q. (3) A particular mammal has a mass of 5 kg and a resting heart rate of 119 beats per minute. (b) Comment on the suitability of the model for this mammal. (3) (c) With reference to the model, interpret the value of the constant p. (1) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________