Step 1 :Calculate the price of the bicycle after applying Coupon A. Coupon A offers a 20% discount on the bicycle. So, we need to calculate 20% of $106. The calculation is \(0.20 * 106 = 21.2\).
Step 2 :The price of the bicycle after applying Coupon A is \(106 - 21.2 = 84.8\).
Step 3 :Calculate the price of the bicycle after applying Coupon B. Coupon B offers a $18 rebate on the bicycle. So, the price of the bicycle after applying Coupon B is \(106 - 18 = 88\).
Step 4 :Compare the prices after applying each coupon. The price with Coupon A is \(84.8\) and the price with Coupon B is \(88\).
Step 5 :Coupon A gives the lower price because \(84.8 < 88\).
Step 6 :Calculate how much less the price with Coupon A is than the price with Coupon B. The calculation is \(88 - 84.8 = 3.2\).
Step 7 :So, the price with coupon A is $3.2 less than the price with coupon B. The final answer is \(\boxed{3.2}\).