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 $.