The swimming pools are one of those extra features that can contribute to the "make" factor when the owner is selling the house. The Problem Solving and Modelling Task (PSMT) aims to utilise variety functions such as trigonometry, exponential, and polynomial functions to custom-design a unique pool for a specific backyard that has been specified. The equations were sketched and checked by a graphic calculator and Desmos (Desmos, 2023). The purpose of this report aims to derive the development and evaluation of the model using related mathematical techniques to successfully ensure client requests about pool size and create an aesthetic appeal consisting of a condition of carter for families of all types. Adhering to a 1:2 ratio, the pool’s surface must be within a 5% margin of error relative to the allocated backyard space. can youi make 3 assumption base on this intro

1) The first assumption is that the client's main concern is to have a pool that fits within their specified backyard space. They prioritize the pool's size and the 1:2 ratio over other design elements.

2) The second assumption is that the client values the aesthetic appeal of the pool and wants it to be visually pleasing. They want the pool design to cater to families of all types, which suggests they may prioritize features such as safety, convenience, and versatility.

3) The third assumption is that the client is open to utilizing various mathematical techniques and functions to custom-design their pool. They are willing to explore trigonometry, exponential, and polynomial functions to create a unique pool design that meets their specific requirements.