
ANSWER EXPLANATION: If you think of the equation as an equation for a line
y=mx+b
where
C=
(F−32)
or
C=
F−
(32)
you can see the slope of the graph is
, which means that for an increase of 1 degree Fahrenheit, the increase is
of 1 degree Celsius. Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of
degrees Fahrenheit. Since
= 1.8, statement II is true.
On the other hand, statement III is not true, since a temperature increase of
degrees Fahrenheit, not
degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.