Duncan Dietz
6/6/10
Red Rectangles
6/6/10
Red Rectangles
MSA MR2
1. Y =mx+b is an equation for Y. In this equation Y is the dependent variable that is being solved for. X is the dependent variable. X times something usually equals Y . The number that is multiplied by X is always known as M or the coefficient. B is the Y intercept or when X is 0 Y is at that number whether B is 0 or 200.
2.a. A graph can be used because it shows how data and the relationship between X and Y altar over a span of time it just uses a line.. To solve a problem with a linear graph you first make sure the line is long enough. Then read the equation. I will use Y=3*X=0. In this equation we are solving for Y. So when X=4 what is Y. First you make the line. Next find where the X axis is 4 then go up to the line and then horizontal where the line meets both the X and Y axis. In this case it would be 12.
Tables show the exact same thing just in a different way, it using columns and not lines. Now, to use a table you must first make a table. Then in the X column find where it is 3 (I am using the same equation as before). Then look in the adjacent cell in the Y column. The number in the column should be 12.
2.b. Time to solve this problem with an equation. In the problem Y=5X+3 I must find Y.
So if X is 7 what is Y? First substitute numbers for variables if possible. Y=5*7+3. Then do order of ops. Y=35+3. Finally add the 3. 35+3=38 so Y=38. But, if I know Y and need to find X the equation is much different. Y=43 43=5X=3. First, subtract like terms. 43-3=5X=3-3 or 40=5X. Then, divide each side by 5 (side with the variable). 40/5=5X/5 so 8=X.
2.a. A graph can be used because it shows how data and the relationship between X and Y altar over a span of time it just uses a line.. To solve a problem with a linear graph you first make sure the line is long enough. Then read the equation. I will use Y=3*X=0. In this equation we are solving for Y. So when X=4 what is Y. First you make the line. Next find where the X axis is 4 then go up to the line and then horizontal where the line meets both the X and Y axis. In this case it would be 12.
Tables show the exact same thing just in a different way, it using columns and not lines. Now, to use a table you must first make a table. Then in the X column find where it is 3 (I am using the same equation as before). Then look in the adjacent cell in the Y column. The number in the column should be 12.
2.b. Time to solve this problem with an equation. In the problem Y=5X+3 I must find Y.
So if X is 7 what is Y? First substitute numbers for variables if possible. Y=5*7+3. Then do order of ops. Y=35+3. Finally add the 3. 35+3=38 so Y=38. But, if I know Y and need to find X the equation is much different. Y=43 43=5X=3. First, subtract like terms. 43-3=5X=3-3 or 40=5X. Then, divide each side by 5 (side with the variable). 40/5=5X/5 so 8=X.
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