MSA Mathematical Reflection 1

1. The dependent variable changes as the independent variable changes in a linear relationship by having the x variable ( independent variable) increase or decrease, the y variable (dependent variable) increases or decreases too. For example if a person named Kate buys two kittens every week she would have more kittens increasing by two every week that goes by.

Kate's Kittens
X Y
0 0
1 2
2 4
3 6
4 8
5 10

2. The pattern of change for a linear relationship shows up in a table, a graph, and an equation. The pattern of change for a linear relationship shows up in a table by having a repeated pattern increasing or decreasing at a constant rate. For example if the rate for Kate and her kittens is 2 kittens per week, then her table shown in number one would have the weeks(x) go up by one, and the kittens(y) go up by two's. The pattern of change for a linear relationship shows up in a graph by having the graph plots from the table go in a straight line. The line can go either way, in a straight line going up in a diagonal, in a straight line going down in a diagonal line, and or sideways in a straight line, parallel to the x axis. For example since Kate and her kittens is linear, then on a graph for every week two would go up in a diagnol by two on the y axis ( # of kittens), and would go in a straight line. The pattern of change for linear relationship shows up in an equation by having the equation work for all the numers in a constant rate. An example is also using Kates kittens by having the equation be, y=x2. These are some things to look for a linear relationship in tables, graphs, and equations.