Job Salaries
Sheshank Suresh
Overview
Variables
The dependant variable is the salary ($) earned.
The Better Choice
Microrough
We can find the slope by subtracting two consecutive numbers from the graph above.
So we can pick 1780 and 500.
1780 - 500
= 1280
therefore, m = 1280
The y-intercept would be the value where the x co-ordinate is 0, and looking at the table of values, it seems that it is 500.
Therefore the equation in slope/y-intercept form would be y = 1280x + 500.
For standard form we would need to have all of the equation from the slope/y-intercept form on one side.
y = 1280x + 500
0 = 1280x - y + 500
1280x - y + 500 = 0
Therefore the equation in standard form is 1280x - y + 500 = 0
There is a linear systems graph all the way down in Point of Intersection. It has both Microrough's and Orange Inc. lines on it.
Orange Inc.
We can find the slope by subtracting two consecutive numbers from the graph above.
So we can pick 3200 and 1600.
3200 - 1600
= 1600
therefore, m = 1600
The y-intercept would be the value where the x co-ordinate is 0, and looking at the table of values, it seems that it is 0 (origin)
Therefore the equation in slope/y-intercept form would be y = 1600x + 0 or just y = 1600x.
For standard form we would need to have all of the equation from the slope/y-intercept form on one side.
y = 1600x + 0
0 = 1600x - y + 0
1600x - y + 0 = 0 or 1600x - y = 0
Therefore the equation in standard form is 1600x - y + 0 = 0 or 1600x - y = 0.
As mentioned above, graph will be on Point of Intersection which is down below.
Point of Intersection (POI)
1. Equations:
the two equations are y = 1280x + 500 and y = 1600x. Since y is common in both equations, the equation can also be written as 1280x + 500 = 1600x. Now we would have to solve for x.
1280x + 500 = 1600x
500 = 1600x - 1280x
500 = 320x
500/320 = x
x = 500/320
Next we need to figure out the y co-ordinate. To this we will have to substitute the x value in any one of the equations. John used y = 1600x.
y = 1600x
y = 1600(500/320)
y = 2500
Now that we have our x and y co-ordinates, the point of intersection would be (500/320, 2500) or in decimal format, (1.5625, 2500).
2. Graph
For the graph method, it is hard to see on this graph but it would also say (500/320, 2500)
***Note: Blue line is Orange Inc. and Purple is Microrough.