I'd say get a four string bass. I'm 99,99% sure that your teacher will teach you to play with a four stringed one. The fifth string will immediately come in the way, because the standard tuning for a 5-string adds the extra string below your lowest (thickest, lowest in pitch) string. Meaning that you'll have to pluck over it, when you first start playing smoke on the water.
It'll also give you more headache when you're trying to learn theory, as most of it is written with a 4-string bass in mind, or a 6-stringed guitar, in which case you can just ignore the two highest(thinnest) strings.
Once you get the basics down, you can duke it out for a 5-string. Neither of them is greater than the other, but learning the ropes will be easier with the 4-string.
My two teef.
It'll also give you more headache when you're trying to learn theory, as most of it is written with a 4-string bass in mind, or a 6-stringed guitar, in which case you can just ignore the two highest(thinnest) strings.
Once you get the basics down, you can duke it out for a 5-string. Neither of them is greater than the other, but learning the ropes will be easier with the 4-string.
My two teef.