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Answers
If you think of the equation as an equation for a line.
y=mx+b
y=mx+b
where
C=5/9(F−32)
C=5/9(F−32)
or
C=5/9F−5/9(32)
C=5/9F−5/9(32)
you can see the slope of the graph is
5/9
5/9
, which means that for an increase of 1 degree Fahrenheit, the increase is
5/9
5/9
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
9/5
9/5
degrees Fahrenheit. Since
95
95
= 1.8, statement II is true.
On the other hand, statement III is not true, since a temperature increase of
9/5
9/5
degrees Fahrenheit, not
5/9
5/9
degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.
The final answer is D.
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