Yes, model is playable
...and is worth 10 points.
Found in the following dictionaries
Enable (Words with friends)
SOWPODS (Collins Scrabble Words)
OTCWL2014 (NASPA Word List 2014)
TWL06 (NASPA List 2006)
"Model" Definition
noun
A person employed to display merchandise, such as clothing or cosmetics.
A preliminary work or construction that serves as a plan from which a final product is to be made: a clay model ready for casting.
A schematic description of a system, theory, or phenomenon that accounts for its known or inferred properties and may be used for further study of its characteristics: a model of generative grammar; a model of an atom; an economic model.
A small object, usually built to scale, that represents in detail another, often larger object.
One serving as an example to be imitated or compared: a model of decorum. See Synonyms at ideal.
adjective
Being, serving as, or used as a model.
Worthy of imitation: a model child.
Serving as or capable of serving as a pattern .
Being a usually miniature representation of something .
verb-transitive
In painting, drawing, and photography, to give a three-dimensional appearance to, as by shading or highlighting.
To display by wearing or posing.
To form (clay, for example) into a shape.
To make by shaping a plastic substance: modeled a bust from clay.
To make or construct a model of.
verb-intransitive
To serve or work as a model.
verb
To plan or form after a pattern .
To make into an organization (as an army, government, or parish).
To shape or fashion in a plastic material.
To produce a representation or simulation of .
To construct or fashion in imitation of a particular model .