Math 202

TUI UNIVERSITY

Module 2 Section Long Project

MATH 101: College Mathematics

Dr. Gregory Dlabach

January 30, 2011

Introduction

In the following Case Assignment for Module two, we basically touch base on how to clearly define, what constitutes a function, how to appropriately identify, and discuss domains and ranges. Also, describes what makes a function a linear function, and how to implement function concepts in a business world environment.

Create a linear equation from your own life and then write a brief paper describing this linear function. It should relate a particular 'thing' to another 'thing'.  It could be something about the amount of money you spend, the number of minutes you spend on the phone, number of miles you run each day, number of pushups, etc...

A linear equation is of the form y = mix + b. Here, X is the independent variable which can take different values. Y is the dependent variable since its value depends upon the value assigned to X. M is the slope or gradient of the line and b is the value of the y-intercept. Consider y = 3x + 10, When x = 1, y = 3(1) + 10 = 13, When x = -2, y = 3(-2) + 10 = 4. I open a bank account by depositing $100. Every month, I deposit $25 into this account. Is the total money in my account linearly related to the number of months? What is the amount of money, I have in my account after 8 months? The linear equation is y = f(x) = 25x + 100,X is the number of months for which the deposits are made and y is the total amount in the account after X months. Thus, we see that the total money in my account linearly related to the number of months. When x = 2, y = 25(2) + 100 = $150, When x = 5, y = 25(5) + 100 = $225,When x = 8, y = 25(8) + 100 = $300. This means I will have $150, $225 and $300 in my account after 2 months, 5 months and 8 months respectively. |

Conclusion

Learning objective in this Case Assignment for module two was to learn the principles of functions and models. In...