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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?

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closed as general reference by Mitch, FumbleFingers, MετάEd, kiamlaluno, tchrist Sep 10 '12 at 23:58

This question is too basic; it can be definitively and permanently answered by a single link to a standard internet reference source designed specifically to find that type of information.If this question can be reworded to fit the rules in the help center, please edit the question.

    
'Construction time of new buildings is inverse proportional to the number of levels of the main building'. –  Mitch Jul 19 '12 at 21:02
    
It would be a good idea to clarify the question. From the problem description, I don't understand the construction time equation or what is being constructed or who is contructing what. Is Mitch's statement correct? (with inverse replaced by inversely) –  jwpat7 Jul 19 '12 at 21:26
    
I see someone voted to close as Too Localised. I've voted to close as General Reference. What's the opposite of inversely proportional? Proportional! –  FumbleFingers Jul 19 '12 at 21:51
1  
So why can't you just say "inversely proportional"? It seems to me like the right expression. –  user16269 Jul 20 '12 at 6:34

1 Answer 1

up vote 3 down vote accepted

It may be better to talk about construction speed rather than construction time. You can say: "At level k, widget construction speed is k+1 times as fast as at level 0." Alternately, provide a little table of construction speed, with entries like "Level 2: 30 units per day".

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Derivatives come in handy here and there. –  John Lawler Jul 19 '12 at 21:54

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