Sam wants to buy a dress as a birthday present for his niece. The regular price of the dress is $45, and he can use either a 25% off the regular price coupon, or $10 off any purchase of $30 or more coupon. Find the discount amount of the better incentive. Round the answer to two decimal places.

The discount amount of the better incentive is ?

To find the better incentive, we need to calculate the final price of the dress after applying each coupon and calculate the discount amount for each option.

Option 1: 25% off coupon
Discount amount = 25% * $45 = $<<25*.01*45=11.25>>11.25
Final price = $45 - $11.25 = $<<45-11.25=33.75>>33.75

Option 2: $10 off $30 or more coupon
Final price = $45 - $10 = $<<45-10=35>>35

Since $33.75 is less than $35, the better incentive is the 25% off coupon.
The discount amount of the better incentive is $11.25. Answer: \boxed{11.25}.