Assignment The Solution

In this function is the existence at time O, P is the existence aft(prenominal) time t, and k is called the exponential growth array. For this job about the race of rats, represents the rats population at O, P is the rats population after time t 7 days and 14 for 2 weeks as seen in and and k is the rats exponential growth rate which is stand for by the 13. 6% or the decimal O. 136. Using this equation we calculate that in 1 week the rats have grown from 100 rats to 259 rats and in 2 weeks the rats have grown from 100 rats to 671 rats. The sat part of this problem asks us to find the doubling time of the population of the rats.The algebraic solution for this is represented by understand for T. The equation for this is and now I will articulate you what it substitutes. We substitute 200 for and the rest of the equation uses the natural logarithm to work for doubling time of the rats population. Some of the topics in this course this problem relates to are natural logarithms , exponential functions, and graphing. These functions are applicable to the business, science, psychology and sociology fields. The Intersect mode for this problem is used in the technology field. The answer from this problem states the population of rats will forficate in 2 weeks.Method The mode of problem solving that I use is, I find some other problem handle this one and match the numbers up to the equation of the other problem, exculpate this problem parallel to the other problem following the guided steps, essentially multi-tasking, solving two problems at the same time. I call this method Killing two birds with one stone. Once I have worked two problems to their simplified form, I input this information into a calculator to generate at y answer. The variety Of ways to gain this problem is through the use Of a calculator and the growth / decay formula.My rationale for selecting the method adopted is because like to keep things simple. Precalculus is complicated a s it is. It would be easy for me to overprint solving problems if I did not keep it simple. alike tend to not fully grasp the concepts unless solve the problems slowly and double checking my work. Explanation The easiest way can explain solving this problem to person would be to patiently go through the problem step-by-step with them pa victimisation on the ay making sure they are grasping the concepts of solving the problem.I would start by reading the word problem thoroughly, taking note of the numbers in the word problem. I would then use the exponential growth rate formula matching the numbers up to the equation and begin to solve the problem using P. E. M. D. A. S. It is a staple to any math problem. true rules apply that cannot be ignored. Will conclude this problem with assisting them through the doubling formula of to find its solution.Conclusion The solution to the population of rats problem clearly states that using the exponential growth function, the rats population after one week is 259 rats and the population doubles after two weeks giving us 671 rats. If my calculations are congeal the 5 for T in the solution represents a 5 course of instruction mark? This solution Was derived by dividing the natural logarithm of Len by the section of 0. 136 in decimal form. Given this information it is possible to state that the rats population will double in size from 671 in two weeks to another greater number in 5 years. I will steadfastly agree that this solution is correct.