Reducing a scaling formula

55 Views Asked by At

$X$ can be between 4 and 10

For every number $X$ is below 10, reduce $Y$ by 5%

For example, if $X=7$, then $Y'=0.85Y$

(100 - (5 * (10 - X))) * Y / 100

Can I reduce that expression any further? I want to make it 'cleaner' when the next developer has to look at it.

1

There are 1 best solutions below

0
On

Here is the first step for reducing the expression above algebraically, using the distributive law of multiplication:

$(100 - (5 \cdot (10 - X))) \cdot Y/100 = (100 - (50 - 5X)) \cdot Y/100$

Proceed further with the other basic rules of Algebra, and you should arrive at Gerry's answer.