MCR3U - Hansen Name: Part D: Application (10 marks) Show all of your steps for full marks. Make sure to include a concluding statement for word problems. 1. A population of rabbits live in a meadow. The population began as only 6 rabbits, but their growth eventually exponentially increased. Every 2 weeks, the population of rabbits triple. With limited resources and space in the meadow, the rabbits were only able to grow to a limited size. When the population of the rabbits was 13122, the meadow was completely depleted of the resources. At this point, the population loses 5% of its rabbits every week. How many rabbits would remain after 87 weeks (where week 1 is when the initial 6 rabbits were there)? (5 marks) 2. A radioactive isotope has a half-life of 3 hours. a. Write an equation to represent the amount of a 1500 g sample remaining over time, where t represents time in hours and M represents the mass of the radioactive isotope. (3 marks) b. Use your equation to determine how much of the sample would be left after 1 day. (2 marks) 5