To find out how much Carmen earned from making scarves on Tuesday, we can multiply the number of scarves she made by the amount she earns per scarf.
Carmen makes 5 scarves and earns $17.60 for each scarf:
\[ \text{Total Earnings} = \text{Number of Scarves} \times \text{Earnings Per Scarf} \] \[ \text{Total Earnings} = 5 \times 17.60 \] \[ \text{Total Earnings} = 88.00 \]
Now, we round this amount to the nearest dollar. Since $88.00 is already a whole number, we don't need to round further.
Therefore, the estimated amount Carmen earned, rounded to the nearest dollar, is:
\[ \boxed{88} \]