MATH133 - Unit 1 Individual Project NAME (Required): _____________________________ Please show all work details with answers, insert the graph, and provide answers to all of the critical thinking questions on this document. Mathematical Modeling: It is useful to construct a mathematical function that represents observed data. Whether this data is linear, quadratic, rational, radical, exponential, or logarithmic is determined by how it changes (i.e., Does the observed data change at a constant or variable rate?). In your corporation's Information Technology department, a database management system's hard disk server farm is found to have the transaction bit-storage rate characteristics listed below in Table A. Your supervisor has asked you to analyze this data to find the linear equation that best represents these rates. (Any situation where a variable's change with respect to a different variable's unit change ends up always constant can be modeled by a linear function. In either y y 1=m ( xx 1 ) Point-Slope form, , or in Slope-Intercept form, y=mx +b , this constant m is the slope of the line, b is the vertical intercept of the function's graph, and the ordered pair, (x 1 , y 1) , represents some point on the line.) Given in the table below, observations suggest that this hard disk server farm can store megabits of data in y x microseconds. For each question, be sure to show all your work details for full credit. Round all value answers to three decimal places. 1. In the table below, based on the first letter of your LAST name, please select two pairs of numbers from every one of the ranges in each of the two x and y columns. For example, if x , y =( 121.2, 15.5 ) your last name starts with \"M\