Given:- C=59(F−32)
⇒F=95C+32
(I) If F' = F + 1
C′=59(F′−32)
C′=59(F+1−32)
C′=59(F−32)+59×1
C′=C+59
Hence, a temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 59 degree Celsius.
Therefore, statement I is true.
(II) If C' = C + 1
F′=95C′+32
F′=95(C+1)+32
F′=(95C+32)+95
F′=F+95
F′=F+1.8
Hence, a temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
Therefore, statement II is true.
(III) If F′=F+59
C′=59(F′−32)
C′=59(F+59−32)
C′=59(F−32)+59×59
C′=C+2581
Hence, a temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 2581 degree Celsius.
Therefore, statement III is false.