A population of 200 rabbits was introduced to an island. One

Last updated: 7/13/2022

A population of 200 rabbits was introduced to an island. One week later the number of rabbits was 210. The number of rabbits, N, can be modelled by the function N(t)-200xb^t, t≥0, where t is the time, in weeks, since the rabbits were introduced to the island. a) Find the value of b. b) Calculate the number of rabbits on the island after 10 weeks. Round to the 3 sf. c) An ecologist estimates that the island has enough food to support a maximum population of 1000 rabbits. Calculate the number of weeks it takes for the rabbit population to reach this maximum. Round to 3 sf.