Linear Equation
In the module 2 discussion I chose the “Money Matters” subject for my linear equation. There were many different examples presented by all of the students. My post was regarding the cost of taking a taxi to downtown Albany from my home. The final equation in my post was Y=4+12(2). Y was equal to 1 so that is what made it linear. The final answer is 28$. Many of the other posts by students were very informative and broke down the entire equation step by step. To be honest this helped a lot as I have never really grasped the entire concept of linear equations. I have to say my favorite post was written by Jessica M. The entire equation was written out step by step which helped me understand. Jessica stated that she needed to make some extra money and was selling diaper cakes online to do so. Her equation was n+(55-30)=125, with n equaling 5 cakes needing to be sold to make enough money. To add some depth to the equation I wanted to figure in the shipping costs of the cakes, making a new equation as 5(25)-15(5)=n. I estimated shipping costs at 15$ and that would give her a new total profit of 50$ for her cakes.
Linear models and equations are used in many everyday situations. Without being aware we use this type of algebra more than we may think. Linear equations contain one or two variables. The word “linear” comes from the fact that the graph of the equation is a straight line. For example: x+y=10 is a linear equation with two variables–x and y. A variable, as opposed to a constant, can take on different values, depending on the equation.