more math. sorry guys! deals with fahrenheit and celsius relations.?

Question

alright, so i have this story problem. i hate these.

water freezes at 32 degrees fahrenheit (or 0 degrees celsius) and boils at 212 degrees fahrenheit (or 100 degrees celsius). write a linear equation that models the temperature in degrees fahrenheit (F) in terms of the temperature in celsius (C).

i can't find the relation between them :(
thanks!

Answer 1

You want a formula that relates a temperature in celsius to the same temperature in fahrenheit
You could use the point slope formula:
change in fahrenheit/change in celsius = (212-32) / (100-0) = 1.8 = slope

Since you know 32 degrees F is 0 Degrees C:
(F - 32) / (C - 0) = 1.8
F = 1.8*C + 32

Answer 2

half of all problems - is looking at what you've got - .
then expressing it on paper

the difference in boiling points for C and F
is 100 ( 0 and 100)and 180 ( 32 to 212)

AND we have a 32 degree change from C to f (or F to C)

SO

(C times 1.8) + 32 = F
and vice versa
(F - 32) / 1.8 = C (F minus 32 then divided by 1.8 = C)

oh yeah - I could have had a V-8!!!!

Answer 3

F = nC + k

F1 - F2 = (nC1 + k) - (nC2 + k)
F1 - F2 = n(C1-C2)
n = (F1-F2)/(C1-C2) = (212-32)/(100-0) = 180/100 = 9/5

32 = 9/5 * 0 + k
k = 32

F = (9/5)C + 32