http://www.aaa3.net/how-to-scale-equation/
Graphing celsius and fahrenheit measurements? Use graph to derive formula/relationship between the two?
Fahrenheit is a third temperature scale. Plot the data in the table and use the graph to derive an equation for the relationship between the Fahrenheit and Celsius scales.
C F
Melting point of selenium 221 430
Boiling point of water 100 212
Normal body temperature 37 98.6
Freezing point of water 0 32
Boiling point of chlorine -34.6 -30.2
Which would I use for the x axis and which for y?
And how would I derive an equation from those points?
You can use either as the x or y axis. Normally, the one you want expressed as a function of the other will be used as the y axis. If you want something in the for of C=f(F), F would be the x axis or if you want it to be F=f(C), then C would be the x axis.
From these numbers, and because the relationship is linear, it may be easier to use Celsius as the x axis. Having a value of F for C=0 gives you the b portion of the y = mx + b equation for a straight line, or in this case, F = mC + b, with m being the slope of the lineand b being the value of F when C = 0. The value of m = (F difference)/(C difference) for any two points. Calculate that and substitute it for m and substitute the value of F when C = 0 and you have solved it.
Short clip of 1/4 scale Formula One Tunnel boat , by Aussie boats
