To find the unit rate for the cost of one egg, we can divide the total cost by the number of eggs.
Given that the cost is $2.35 for 12 eggs, we can set up the calculation as follows:
\[ \text{Cost per egg} = \frac{2.35}{12} \]
Now, we calculate:
\[ \frac{2.35}{12} \approx 0.1958333\ldots \]
Rounding this to the nearest hundredth, we look at the third digit after the decimal point, which is 5. Since 5 is equal to or greater than 5, we round up the second decimal place:
\[ 0.1958333\ldots \approx 0.20 \]
Thus, the cost for one egg is approximately:
\[ \boxed{0.20} \]
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