Answer:
The old version awards 50 more points for each level
Step-by-step explanation:
Function Modeling
Two models are being compared: The old model relates the total number of points awarded in a computer game (y) with the number of levels completed (x) as
[tex]y=175x+150[/tex]
The new model is given as a graph. To find the equation of the line we must locate a couple of 'good' points. The graph is very clear, so we select the extreme points (1,250) (9,1250)
Find the equation of the line with the point-point formula
[tex]\displaystyle y-250=\frac{1250-250}{9-1}(x-1)[/tex]
[tex]\displaystyle y-250=\frac{1000}{8}(x-1)[/tex]
[tex]y=250+125x-125[/tex]
[tex]y=125x+125[/tex]
Comparing the new function with the old function we can note the coefficient of x (the slope of the line) is 50 points more in the old version than the points in the new version.
Thus the answer is
The old version awards 50 more points for each level
