>>6202246Think of the equation as an equation for a line
y=mx+b
where in this case
C=5/9(F−32) or C=5/9 F−5/9(32)
You can see the slope of the graph is 5/9, which means that for an increase of 1 degree Fahrenheit, the increase is 5/9 of 1 degree Celsius.
C=5/9(F)
C=5/9(1)=5/9
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 degrees Fahrenheit.
C=5/9(F)
1=5/9(F)
(F)=9/5
Since 9/5 = 1.8, statement II is true.
The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of 5/9 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:
C=5/9(F)
C=5/9(5/9)
C=25/81(whichis≠1)
An increase of
5/9 degree Fahrenheit leads to an increase of 25/81, not 1 degree, Celsius, and so Statement III is not true.
The final answer is D
