MSA MR 1

MSA MR 1

1.) In a linear relationship, the dependent variable and the independent variables change. When a relationship is linear, then everything increases or decreases at a constant rate. So the dependent variable increases or decreases as the independent variable increases or decreases. For example, if you were trying to see how much money you could raise for a bike race or a walk-a-thon, and you got money for how far you travel, then the dependent variable is the money, and the independent variable is the distance. If a sponsor says they will give you two dollars for every mile you walk, then as the independent variable increases by one mile, the dependent variable increases by two.

2.) The pattern of change for a linear relationship can show up in a graph, table, and an equation. In a graph, the pattern is shown as a straight line. The numbers go up at a steady rate, so the line shows a steady increase or decrease. For example, If you had to make a graph of 5 numbers where it increases by 5 each time, then your points would be (1,5),(2,10),(3,15)(4,20),(5,25), and those on a graph would make a straight line. In a table, the pattern shows up as the numbers increasing or decreasing at a steady rate. For example, if you had to make a table of someone biking 6 mph for 5 hours, then your table would look like this;

1 6

2 12

3 18

4 24

5 30

The numbers increase at a steady rate on both the x and y values. The pattern of change shows up in the equation because if the equation includes the unit rate, then it is linear and has that pattern. If someone pledges to give $2 for every mile someone bikes, then their equation is (m=money, d=distance) m=2d

That shows that for every mile you ride, you get $2. The unit rate is 2, so this equation is linear