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

Many believe the paper cup is recyclable and so do not see the harm with grabbing a coffee daily in a paper cup. However, this is not the case. The majority of paper cups are not recyclable, and therefore a staggering amount make their way to landfill each day (whether they took a route through a recycling centre first or not). 2.5 billion paper cups are used each year - and that's quite a bit of material going into landfill. We are now in the age where reusable cups are popular - we all have a flask or reusable plastic mug which we take with us on car journeys. Therefore we need to bring these more into our everyday lives for the sake of the planet. One way to encourage people to go for a reusable plastic cup rather than a non-recyclable paper cup is to charge extra for this non-recyclable material. I believe this would encourage more and more people to use the recyclable mug, which can only be a good thing. Due to this, I agree that a tax on paper cups could be the answer.