A few days ago
Anonymous

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?

Top 1 Answers
A few days ago
Anonymous

Favorite Answer

how would I derive an equation from those points?

it depends how complex your course is

the easiest way is to just consider two of the given points

instead of using (x,y) points

use (c,f) points and consider

Freezing point of water 0 32

Boiling point of water 100 212

so

(c1,f1) = (0,32) and (c2,f2) = (100,212)

gradient = m = (f2-f1)/(c2-c1) = 180/100 = 9/5

then use the point gradient formula for a line

f – f0 = m(c-c0)

take (c0,f0) = (0,32)

[[but you could use (100,212) instead if you like]]

so

f – 32 = (9/5)(c-0)

gives

f = (9/5)c + 32

or rearranging

c = (5/9)(f-32)

Which would I use for the x axis and which for y?

it doesn’t matter whether you use c for x and f for y or vice versa since you will get the same result either way just by rearranging the equation at the end

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