There are different trains, the faster the more expensive.
From Rome to Florence you could take a regional train, it is slow but the price is really interesting (16 euros). Intercity is more expensive, and the AV is the most expensive (even 39,90 euros!) I suggest the regional or Intercity.
http://orario.trenitalia.com/b2c/nppPriceTravelSolutions.do?car=0&stazin=roma&a mp;stazout=firenze&datag=17&datam=07&d ataa=2009&timsh=10&stazin_r=Staz_DA&st azout_r=Staz_A&timsm=49&timsm_r=49&lan g=it&nreq=5&channel=tcom&lang_r=it& ;nreq_r=5&npag=1&npag_r=1&channel_r=tc om
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