Fifa 15 Career Mode Season
Identifying the Variables
Dependent Variable: Goal Differential
Equations for the Table
Let d = goal differential
Equation for Goal Differential on Amateur Difficulty
Equation for Goal Differential on Beginner Difficulty
For example, 1=4, 2=8 etc.
Equations of the Lines-Goal Differential Amateur:
Points: A (1,13) B (8,83)
We can substitute x=1 and y=13 because the line passes through (1,13)
3 = b
Standard Form: 10x-y+3=0 or 10x-y= -3
Equations of the Lines-Goal Differential Beginner:
Points: A (1,17) B (8,73)
We can substitute x=1 and y= 17 because the line passes through (1,17)
So, 17= 8*1+b
Standard Form: 8x-y+9=0 or 8x-y= -9
Point of Intersection/Graphic Solution
Beginner Difficulty Line: y=8x+9
Substitute 3 in place of x in order to find y value
Therefore, the point of intersection will be (3,33).
This means that at the point (3,33) on the graph, both lines intersect. Therefore, after playing 12 games (remember that each point on the x axis represents 4 games), Bob will have the same goal differential on Amateur and Beginner difficulty levels.
The Answer to the Questions
Bob can have a goal differential while he has played 0 games because Tom starts off each season by playing the first 10 games. Furthermore, Bob is only recording the games he plays so he will not include the first 10 games within his table.