MSA MR1

1. A dependent variable changes as the independent variable changes in a linear relationship because if the relationship is linear, the numbers will increase or decrease at a steady rate. The dependant variable depends on the independent variable, so when the independent variable changes, so does the dependant variable. For, example, the distance depends on the time when a person is walking. If the walking rate is three miles per hour, and the person had been walking for three hours, he/she would have walked nine miles.

2.The pattern of change in a linear relationship shows up in a table when you can see the pattern of the information you are given. For example, the independent variable goes up by one and the dependent variable goes up by two, that would be the pattern. The pattern of change in a linear relationship shows up in a graph when there is a straight line on the graph. For example, if you graphed the data in the example that I gave in my example for seeing the pattern of change in a linear relationship on a table, you would see a straight line of the data on the graph because the relationship is linear. The pattern of change in a linear relationship shows up in an equation when you can multiply any number by the unit rate and it would still make the relationship linear. For example, the unit rate of the data put on the graph is two, which means you could multiply any number by two and still make the relationship linear.