Essays on Linear Equation

Abstract

This paper is dedicated to the importance of mathematical models and their application to the solution of real world problems. The purpose of this paper is to demonstrate how the relationship between two variables or factors can be mathematically expressed. I selected the following variables: the unemployment rate and violent crime rate of the United States of America. The three points selected are the unemployment and violent crime rate in 1998-2000. The linear equation was created on the basis of two points in 1998 and 2000. He equation shows that there is a positive relationship between the number of ...

Introduction

There has been a growing need worldwide for alternative energy solutions to that of the traditional fossil fuel and mined coal. The need for sustainable renewable power sources can be attributed to the growing concern over the state of the area in which we live. Global warming is fast becoming the modern time's biggest threat to human life. Solar energy is one of the best answers to the energy problem that the world is currently facing. Solar power harnesses the energy from the ultraviolet rays emitted by the sun and converts it into electric energy. The determinants of the ...

Question 1

A. What is similarities and differences do you see between functions and linear equations studied in Ch. 3?

Functions and linear equations have elements which create straight lines when plotted on the graph. Both linear equation and a function are polynomial to the first degree. A linear equation and function have variables that are paired and separated by comma in a bracket. The variables are normally in form of x and y with each having one value. A linear equation is an algebraic expression having two variables with similar value while a function has only one variable. The major use of a function ...

This paper provides solutions to the discussion questions. However, some aspects of the discussion questions that needs the feedback or the response of the classmates are not included herein.

Both linear equations and functions deal with the x coordinates and y coordinates (points) on a graph. A linear equation often asks for the solution for both x and y while a function gives the value of either x or y.

Differences

Functions are expressed by the use of symbols that represent both the output (y) and the input (x). Both the x and y forms a set of ordered pairs. Example: y = 7x + ...