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Unit 6 Test Algebra VU Ona Part D Application [10 marks 1. Kleiber's Law states that the energy required per day, P kilocalories, for an animal with mass 3 M kilograms, is given by the formula ? = 70M a) Determine the energy required per day by a 620 kg rhino. (2 Marks) b) The energy required by a human is 2150 kcal per day. Determine its body mass. (2 Marks) 2. The population, P, of the city of Hazelton has grown according to the mathematical model P= 42 500(1.045)' where t is the number of years since 2005. a) Ifthis trend continues, in what year will the population reach 180 000. Justify your answer. (2 Marks) b) Describe an environmental disaster that would affect Hazelton's population. How would the disaster affect the population growth overall? (2 Marks) c) How would the original mathematical model (formula) change after the disaster? Suggest and explain an alternative formula. (2 Marks)