SOLUTION: The table below shows the freezing and boiling points of water in degrees Celsius and degrees Fahrenheit. Celsius Fahrenheit Freezing 0 32 Boiling 100

Question 198043This question is from textbook Algebra and trigonometry
: The table below shows the freezing and boiling points of water in degrees Celsius and degrees Fahrenheit.
Celsius Fahrenheit
Freezing 0 32
Boiling 100 212
a. Find a linear function that gives celsius degrees in terms of fahrenheit.
b What celsius degrees temperature corresponds to 98.6 degrees fahrenheit.
c. At what temperature do the two scales give the same reading. This question is from textbook Algebra and trigonometry

Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

a) Find a linear function that gives celsius degrees in terms of fahrenheit.

Let us appoint the following:
Celsius = x, where
Also,
Fahrenheit = y, where

Via Point-Slope Form:
, divide both by 20:

Then, via Slope-Intercept Form,

Thru point (x1,y1)= (0,32):

It follows ---> , Answer --->

b) What celsius degrees temperature corresponds to 98.6 degrees fahrenheit?

Susbtituting to our Eqn in (a):
---> --->

, Answer (body temp.)

c. At what temperature do the two scales give the same reading.

When Fahrenheit=Celsius ----> y=x

Going back to eqn in (a):
--->

----> ----> ---->
, Answer

Thank you,
Jojo

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