Thank you for visiting You are trying to compare the Fahrenheit and Celsius scales You have two examples Temperature A is 50 degrees Celsius and 122 degrees Fahrenheit Temperature. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
For this case, the first thing we must do is define variables.
We have then:
c: temperature in degrees celsius
f: temperature in Fahrenheit
The generic equation of the line is:
[tex]f-fo = m (c-co)
[/tex]
Where, the slope is given by:
[tex]m = \frac{f2-f1}{c2-c1} [/tex]
Substituting values:
[tex]m = \frac{212-122}{100-50} [/tex]
Rewriting:
[tex]m = \frac{90}{50} [/tex]
[tex]m = \frac{9}{5} [/tex]
We choose an ordered pair:
[tex] (co, fo) = (100, 212)
[/tex] Substituting values in the generic equation:
[tex]f-212 = \frac{9}{5} (c-100)
[/tex]
Rewriting:
[tex]f-212 = \frac{9}{5}c - 180 [/tex]
[tex]f = \frac{9}{5}c - 180 + 212
[/tex]
[tex]f = \frac{9}{5}c + 32
[/tex]
Answer:
An equation of the line in slope-intercept form is:
[tex]f = \frac{9}{5}c + 32 [/tex]
See attached image.
We have then:
c: temperature in degrees celsius
f: temperature in Fahrenheit
The generic equation of the line is:
[tex]f-fo = m (c-co)
[/tex]
Where, the slope is given by:
[tex]m = \frac{f2-f1}{c2-c1} [/tex]
Substituting values:
[tex]m = \frac{212-122}{100-50} [/tex]
Rewriting:
[tex]m = \frac{90}{50} [/tex]
[tex]m = \frac{9}{5} [/tex]
We choose an ordered pair:
[tex] (co, fo) = (100, 212)
[/tex] Substituting values in the generic equation:
[tex]f-212 = \frac{9}{5} (c-100)
[/tex]
Rewriting:
[tex]f-212 = \frac{9}{5}c - 180 [/tex]
[tex]f = \frac{9}{5}c - 180 + 212
[/tex]
[tex]f = \frac{9}{5}c + 32
[/tex]
Answer:
An equation of the line in slope-intercept form is:
[tex]f = \frac{9}{5}c + 32 [/tex]
See attached image.
Thank you for reading the article You are trying to compare the Fahrenheit and Celsius scales You have two examples Temperature A is 50 degrees Celsius and 122 degrees Fahrenheit Temperature. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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Rewritten by : Jeany
The graph that models the relationship between the Fahrenheit and Celsius scales is attached below.
An equation of the line in slope-intercept form
is F= 9/5 C+ 32.
I am hoping
that this answer has satisfied your query and it will be able to help you in
your endeavor, and if you would like, feel free to ask another question.
