A Mac which can run 10.1, or came with 10.1 or earlier, will have doubtful performance under 10.4. It must be a G3 model judging from this so unless it's a PowerMac or the later Pismo model PowerBooks, its performance will be 'lacking.'
A processor with 500MHz+ and maxed out RAM is highly recommended for Tiger. Otherwise stick with Panther.
Also: 10.1 was a hell of a lot better than 10.0 😀