Noa's salary increases by $8,000 each year. We can express her salary for any given year using the formula:
\[ \text{Salary in year } n = 48000 + (n - 1) \times 8000 \]
For the 13th year, substitute \( n = 13 \) into the formula:
\[ \text{Salary in year } 13 = 48000 + (13 - 1) \times 8000 \]
Calculating this step by step:
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Calculate \( 13 - 1 \): \[ 13 - 1 = 12 \]
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Multiply by 8000: \[ 12 \times 8000 = 96000 \]
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Add this to 48000: \[ 48000 + 96000 = 144000 \]
Thus, Noa will make $144,000 in her 13th year working.