The title sucks, I know... Anyway:
As part of a game I'm making, one of the buildings decreases the time it takes to build other things. Like so:
At level 0: Full time
At level 1: Full time / 2
At level 2: Full time / 3
At level 3: Full time / 4
So basically, the construction time is inversely proportional to this buildling's level. But so far my sentence to describe this effect is:
This building reduces construction times by a factor proportional to its level.
Is this correct? Is there a better way to phrase this? By my understanding this means that the factor (the denominator of the fraction) is proportional to the level, is this correct? Does "level + 1" count as proportional?