MSA MR 2

1. If two subjects had a linear relationship and were put into a graph, the line created by the information following the subjects would form a perfectly straight line, and if they were put into a table, their rates would go up at a constant/steady rate. Also, with equations you could form a linear relationship as well. In the equation y = mx + b, the letters are variables that represent different things in an equation.

The y in this equation is the dependent variable, the output. For example, distance is typically a dependant variable in an equation.

The x in this equation is the independent variable, the input. For example, time is typically the independent variable in an equation.

The b in this equation is the y-intercept in an equation/a head start. For example, in running a business, before you begin paying for each item individually, other things such as the mortgage, heat bills, water bills, etc., so your y-intercept would probably be in the hundreds.

The m in this equation is the rate of an equation. For example, someone might have a walking rate of 2.5 meters per second, so their rate would 2.5 mps.

2. a.) A table for a linear relationship can be used to solve a problem by looking at the informational data that the table uses, and using that information to solve a problem. A graph for a linear relationship can be used to solve a problem by using the scale marks and the line drawn on the graph to help you solve the problem.

b.) I have used an equation to solve a problem by substitutung the numbers that I need to use to solve that problem for the variable(s)in that equation, and this is how I have used an equation to solve a problem.