Question

Required information Consider the following data representing the mass and metabolism rate of different animals. Animal Cow Mass (kg) | Metabolism (watts) 400 270 70 82 Human Sheep 45 50 Hen 2 4.8 Rat 0.3 1.45 Dove 0.16 0.97 Determine the metabolism rate of a 500-kg tiger. (Round the final answer to four decimal places.) The metabolism rate of a 500-kg tiger is 317.70 W.

Answer 1

Solution: Consider the following data representing of the mass and metabolism rate: Animal In E Mass(m) (kg) 400 70 45 Cow Human Sheep Hen Rat Dove Metabolism (E) In m (watts) 270 5.991 82 4.248 50 | 3.806 4.8 0.693 1.45 -1.204 0.97 | -1.832 5.598 4.4067 3.912 1.568 0.392 -0.0304 2 0.3 0 .16 Using excel, plot the graph between In m vs In E and get the equation of the trend. The following diagram shows the graph between ln m vs In E:

In E =1.2264 +0.7254 ln m -2 -1 1 2 4 5 3 In m The equation of the trend is, In E = 1.2264+0.7254 In m Calculate the metabolism rate of a 500 kg tiger: In E = 1.2264 +0.7254 In m In E = 1.2264 +0.7254In (500) E = 309.3510 W Thus, the metabolism rate of a 500 kg tiger is 309.3510 W.