MSA MR 2

1.) There is a linear relationship represented by y=mx+b. In the equation, y means the dependent variable or the y-axis, on a graph, and m means the rate. Also, b means the y-intercept, and x means the dependent variable or the x-axis, on a graph. An example that shows y=mx+b, is:

c= cost in dollars t= number of shirts

c=5t+20

If you wanted to buy 30 shirts then:

c=5*30+20

c=150+20

c=170

In this example, 5, is the rate, t or 30, is the independent variable, and 20 is the y-intercept.

2 a.) A table and a graph can be used to solve a problem. A table can be used by filling in a table with the information and then by continuing the pattern.

The Cost of Shirts

TOTAL NUMBER OF SHIRTS	COST IN DOLLARS
10	70
20	120
30	170

A graph can be used to solve a linear equation because you plot the the data and continue the pattern. When you plot the data for the linear equation, you would be able to see the linear relationship on the graph because there would be a straight line.

2 b.) I used an equation to solve a problem by substituting the variables for the numbers.

EXAMPLE:

c= cost t= total number of shirts

c=5t+20

If you bought 20 shirts then:

c=5*20+20

c=100+20

c=120