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.(1 point)

The discount amount of the better incentive is $

To find the discount amount for the first coupon, we need to multiply the regular price of the dress by 25% and then subtract that amount from the regular price.

25% of $45 is (25/100)*$45 = $<<25/100*45=11.25>>11.25
So the discount amount for the first coupon is $11.25.

To find the discount amount for the second coupon, we need to subtract $10 from the total purchase price if it is $30 or more.
Since the dress costs $45, which is more than $30, the discount amount for the second coupon is $10.

Comparing the two options, $11.25> $10.
Therefore, the discount amount of the better incentive is $11.25. Answer: \boxed{11.25}.