Function word problem

Question

Hello! please help me express this word problem into a crosspiece function :

Your favorite dog groomer charges according to your dog’s weight. If your

dog is 3 kg and under, the groomer charges 150USD. If your dog is over 3 kg,

she charges 150USD, plus an additional 20USD for each kg in excess of 3 kg.

Create the cost piecewise function w(x) where x is the weight of your dog in

kg.

Answer 1

Hello, Michael,

See if this makes sense to you. Let x be the dog's weight in kg and P the total price in USD.:

A. If your dog is 3 kg and under, the groomer charges 150USD

P = $150 x<=3kg

B. If your dog is over 3 kg, she charges 150USD, plus an additional 20USD for each kg in excess of 3 kg.

P = $150 + (x-3)*$20 x>3kg

Bob