1. As the independent variable increases at a steady rate so does the dependent variable. For example if x increases by 1 and does that the entire time and y increases by 3 and does that every time then the relationship is linear. So if i was to raise money for a bike ride and I got $100 no matter how far i rode. Therefore the relationship is linear because it does nothing at a steady rate. However if I was a shopper and I had $100 to start and spent $10 per week for 10 weeks then the relationship is linear because it decreases at a steady rate.
2. A relationship shows up in a graph, a table, and an equation. It shows up in a graph because if the line is straight then the relationship is linear. It shows up in a table because you can see the numbers increasing at a steady rate. It shows up in the equation because you can see how the x and y increase.
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