The discussion revolves around the relationship between degrees Fahrenheit and degrees Celsius, specifically exploring the conditions under which degrees Celsius is 20 degrees more than degrees Fahrenheit. Participants are examining the relevant equations and substitutions related to temperature conversions.
Some participants affirm the validity of the proposed equation, while others express skepticism about the substitution, referencing the specific case where the two temperature scales intersect at -40 degrees. The discussion reflects differing interpretations of the relationship between the two temperature scales.
There is an ongoing debate about the assumptions underlying the substitution and the implications of the temperature scales intersecting at -40 degrees. Participants are navigating these complexities without reaching a definitive consensus.
Holocene said:Homework Statement
The relationship between degrees Fahrenheit and degree Celsius is given by the formula:
\displaystyle{C = \frac{5}{9}(F - 32)}
For what temperature will degrees Celsius be 20 more than degrees farenheit?
The Attempt at a Solution
Is this the equation to solve?
\displaystyle{\frac{5}{9}(F - 32) = F + 20}
colby2152 said:Celsius must be 20 degrees more than Farenheit, so C = F + 20 is the correct substitution.
colby2152 said:Celsius must be 20 degrees more than Farenheit, so C = F + 20 is the correct substitution.
What does that have to do with the question? No one is saying that "C= F+ 20" is generally true, just that it is true when "the degrees celsius is 20 degrees more than Farenheit". C= F+ 20 is just a restatement of that.Integral said:This is just wrong. at -40 the 2 scales are equal.