1. The problem asks us to write an equation for Fawzia's salary $S$ after $n$ years at the company based on the graph.
2. From the graph, we see the salary increases linearly starting at $55000$ when $n=0$ and increases by $2000$ each year.
3. The general form of a linear function is $$S = S_0 + rn$$ where $S_0$ is the starting salary (y-intercept) and $r$ is the raise per year.
4. Here, $S_0 = 55000$ and $r = 2000$, so the equation is:
$$S = 55000 + 2000n$$
5. The y-intercept $55000$ represents Fawzia's starting salary before any raises (at $n=0$ years).
6. The slope $2000$ represents the annual raise amount added to the salary each year.
Final answer:
$$S = 55000 + 2000n$$
Salary Equation 53A80D
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