1. ## Number Scaling

I apologize,I don't know what the proper name for what I'm trying to achieve is...

Let's say I have a set of distances between 0 and 300. One of those distances is 25.33.

Then I have another ranking scale that ranges between 1.3 and 0.9 that is used as an exponent.

I want to choose the ranking exponent based on the distance. So if distance is 0 then it is ranked at 1.3 and if the distance is 300 it is ranked at 0.9.

How do I find what ranking exponent to use for a distance of 25.33? Not specifically this number, but the math that would let me calculate it for any number between 0 and 300...

Thanks for any help!
B

2. if 0 is ranked 1.33
and 300 is ranked .9 than
it went down 0.43 in 300.
so $\Delta r= \frac{.43}{300}d$ were r is rank and d is distance
and
$r=1.33- \frac{.43}{300}d$

$r=1.33- \frac{.43}{300}25.33=1.26694$
for 0
$r=1.33-0$
for 300
$r=1.33-.43=.9$

--- $\int$

3. thank you! I think this will be precisely what I need!