Answer Happy

2. (8 points) Refer to SLG 11.2.2 Reproduction of Cats Problem. Construct a model for the number of cats, y, after x months that makes use of the same assumptions, EXCEPT that the ratio of female cats to male cats per litter is 1:3. Here are some of its assumptions: 1. It begins with two cats - one female and one male, both unneutered. 2. Each litter is composed of 4 kittens - 2 males and 2 females. 3. It takes four months before a new generation of cats is born. 4. No cats die and no new cats are introduced. Month No. of No. of No. of No. of No. of Female No. of Male No. of Female Male Female Male Cats in Parents Parents Kittens Kittens Cats in Cats in Total Total Total 0 1 1 0 0 1 1 2 4 1 1 3 2 4 6 8 2 4 6 4 10 14 4 10 12 8 22 30 8 22 24 16 46 62 16 46 48 32 94 126 32 94 96 64 190 254 12 ៩ | ៩ || ន 16 20 24 1 2 4 8 16 32