Math Reflection

1. In a linear relationship the dependent variable (the y axis on a graph) changes along with the independent variable (the x axis) but not at the same rate usually. If Steve is selling T-shirts at a concert for $3.00 per T-shirt you could make a table that looked like this..

X Y

1 3

2 6

3 9

4 12

5 15

6 18

7 21

8 24

9 27

10 30

As X (the independent variable) increases by one Y (the dependent variable) goes up by 3. If you put it in an equation it would be X * 3 = Y.

2. In a linear relationship the pattern of change can show up in a graph, table and an equation. In a graph you can tell if it's linear because the graph will be in a straight line and always is going at the same rate. An example of this is Steve selling his T-shirts since he has a linear equation it automatically makes him have a linear graph. You can tell if a tables linear because the numbers in the table increase or decrease in a steady rate. For example in Steve's table for every T-shirt he sells he makes $3.00 and as the table goes on Steve's money increases by a steady rate of $3.00. If you look at an equation you tell its linear because all of the numbers are compatible with each other and don't increase and decrease in the same graph or table. An example of this would be for each T-shirt Steve sells he makes $3.00 and to get how much money he makes for selling X amount of T-shirts you would do X * 3 = Y. X being the number of T-shirts bought and Y being the total money he makes off selling them.