+1908 \(𝐶=\frac{5}{9}(𝐹−32) \)
The equation above shows how temperature 𝐹, measured in degrees Fahrenheit, relates to a temperature 𝐶, measured in degrees Celsius. Based on the equation, which of the following must be true?
(I) A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 59 degree Celsius.
(II) A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
(III) A temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
+129847 II only
To see why....let C inctrases by 1 and F increase by 1.8 = 9/5
C + 1 = (5/9) ( F + 1.8 - 32)
C + 1 = (5/9) ( F + 9/5 - 32) distribute 9/5
C + 1 = (5/9) ( F) + (5/9)(9/5) - (5/9)(32)
C + 1 = (5/9) ( F - 32) + 1 subtract 1 form both sides
C = (5/9) (F -32) which is our original equation 
