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Using linear functions, we have that:
A.
For Company A:
For Company B:
B. The salaries will be the same after 7 years.
A linear function is given by:
In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the initial value.
Item a:
- For Company A, the salary starts at $31,000, with a raise of $3,000 each year. Thus,
, and the salary after n years is given by:
- For Company B, the salary starts at $38,000, with a raise of $2,000 each year. Thus,
, and the salary after n years is given by:
Item b:
- They will be the same after n years, for which:
Then
The salaries will be the same after 7 years.
A similar problem is given at brainly.com/question/24282972