Fahrenheit

Problem:



Solution:

a) We let the equation for Celsius to Fahrenheit be $F = aC + b$, this is just a general linear equation with some unknown a and b

Using the given information, we have

95 = 35a + b
221 = 105a + b

Subtracting, we get (105 - 35)a = 221 - 95, solving get a = $\frac{9}{5}$, using the first equation, we also find $b = 32$.

Therefore the equation is $F = \frac{9}{5}C + 32$.