show work for each question if needed please. 1-5

Name Date Chapter 5 Performance Task (continued) An animal's body mass is also related to its metabolism. An animal's Basal Metabolic Rate (BMR), or resting metabolism rate (measured in kilocalories per hour), can be modeled by Kleiber's Law, which states that BMR(m) = mo. How can Kleiber's Law be modified to represent an animal's BMR in kilocalories per minute? Write a new function R(m) that models this modification. How can the functions R(or) and s(m) be combined to model the average amount of kilocalories a white rhino will burn over its life e resting. Write a new function that models this 5. How can Rim) be combined with r[m) to model the average amount of kilocalories a white rhino burns per heartbeat? Explain why this function operation is different than the one used in Exercises 2 and 4. Write a function that models this.Name Date Chapter 5 Performance Task (continued) The Heartbeat Hypothesis Biologists use mathematical functions to model characteristics of different species, such as heart rate, body mass, and life span. How can the functions be combined to tell us even more? 1. The heart rate r (in beats per minute) of a white rhino is related to its body mass m (in kilograms) by the function r(m) = 241m-0.25, a. Use a graphing calculator to graph the heart rate function of the white rhino using the window settings shown below. Sketch your graph below. Label your axes appropriately. 100 60 40 1000 2000 3000 b. Interpret your graph. How nass of a rhino related to its heart rate? 2. The life span s (in minutes) of a white rhino is related to its body mass . (in kilograms) by the function s(m) = (6 x 10 )mrs. How can the functions for the heart rate and life span of a rhino be combined to model the total number of heartbeats over the lifetime of a white rhino? Write a new function /(m) that models this