this post was submitted on 30 Aug 2023
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Suppose you buy two items costing
x
andy
, and there's a constant sales tax oft
(say 10%, or 0.1). You'd payt * x + t * y
, ort * (x + y)
. You can even generalize this toΣ(t * x) = t * Σx
(forx ∈ X
, whereX
is the set of prices you're paying).In other words, yes.
In case you want the math name for this property, it's the distributive property.
~~I think the issue they were bringing up though is that tax is not applied equally to all items, and that tax may be determined by number of items sold. I don't actually know if this is true or not, but if it is, the distributive property doesn't apply anymore.~~ Edit: I re-read the comment, that doesn't look like what they were saying actually. Either way, if tax is weird like this, distributive property may not apply anymore.