Temperature Conversion Problem 1
Tutorial to help us answer problem 1.
First, we can write the linear equation we are trying to find as,
C = mF + b,
Second, we can find the equation to convert from °F to °C using the information provided. Specifically, we know both the boiling point and freezing point of water in °F and °C.
We can find the slope of the line, m, using the two points that we know to lie on the line,
(F1,C1) = (32, 0),
(F2,C2) = (212, 100).
Using these points we find m as,
where the equation of our line can now be written as,
which imply that,
Thus, to convert temperatures in °F to °C, you would use the equation,