To find the commission earned by the salesperson, you can use the given equation \( c = 0.11s \), where \( s \) is the amount sold.
In this case, \( s = 5000 \).
Now, substitute \( s \) into the equation:
\[ c = 0.11 \times 5000 \]
Calculating that:
\[ c = 0.11 \times 5000 = 550 \]
Thus, the commission she will earn if the amount sold is $5000 is $550.