The earning of the salesperson is an illustration of a linear function.
The possible functions in the two scenarios are: [tex]\mathbf{I(s) = 0.1s + 2500}[/tex] and [tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
The function is given as:
[tex]\mathbf{I(s) = 0.1s + 2000}[/tex]
When the base salary is increased, a possible function is:
[tex]\mathbf{I(s) = 0.1s + 2500}[/tex]
This is so, because 2500 is greater than 2000
When the commission rate is decreased, a possible function is:
[tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
This is so, because 0.05 is less than 0.1
So, the possible functions in the two scenarios are:
[tex]\mathbf{I(s) = 0.1s + 2500}[/tex] and [tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
See attachment for the graphs of both functions
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