. Water freezes at 0◦ Celsius and 32◦ Fahrenheit and it boils at 100◦C and 212◦F.

Question

(a) Find a linear function F that expresses temperature in the Fahrenheit scale in terms of
degrees Celsius. Use this function to convert 20◦C into Fahrenheit.
(b) Find a linear function C that expresses temperature in the Celsius scale in terms of
degrees Fahrenheit. Use this function to convert 110◦F into Celsius.
(c) Is there a temperature n such that F(n) = C(n)?

Answer 1

(212-32) = 180
SO, there are 180°F for 100°C

So

each °F is 5/9 as big as a °C
each °C is 9/5 as big as a °F

That should help you get started.

Answer 2

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