Should there be a tax placed on throw away coffee/tea cups?

In my opinion, there should be a tax placed on throw away coffee or tea cups. Why? This type of trash is mostly not recycable and puts a great danger to the environment because it directly polutes it. Poluting the environment with paper cups should be avoided at all times and alternatives found in order to solve this issue.

Putting a tax may be temporary safe, but I think the right way is to teach and educate coffee drinkers to not choose to buy this type of product and then the market would collide on itself; without any sales, coffee shops would provide solutions and therefore solve this problem for everyone.