Video Transcript
What is 67 degrees Celsius in
degrees Fahrenheit? Give your answer to one decimal
place.
All right, so here we want to
take this temperature in degrees Celsius, it’s 67 degrees, and convert it to
degrees Fahrenheit. That is, given this temperature
we can call it 𝑇 sub C in degrees Celsius, we wanna convert it to the
Fahrenheit temperature scale. To do this, we can recall the
mathematical relationship that connects these two scales, Celsius to
Fahrenheit. Given a temperature in degrees
Celsius, if we multiply that by nine-fifths and add 32 to that result, we get
the corresponding value in degrees Fahrenheit. And by the way, this ratio,
nine-fifths, is not a random number. This is equal to the ratio of
how much a temperature change on the Fahrenheit scale corresponds to on the
Celsius scale.
So then, to solve for 𝑇 sub F,
the temperature in Fahrenheit that corresponds to 67 degrees Celsius, we’ll take
our input temperature written as a pure number with no units, multiply it by
nine-fifths, and then add 32 to that. When we do this, the result we
find is 152.6. Now, because everything here
has no units, our answer also has no units in its current form. But because we’re solving for a
temperature in degrees Fahrenheit, we know that really 152.6 is 152.6 degrees
Fahrenheit. In our problem statement, we’re
told to give our answer to one decimal place, which it is, 152.6. So then, this is our final
answer. 67 degrees Celsius is 152.6
degrees Fahrenheit.
