Answer: D.
This is tricky.
Think of the equation as an equation for a line
where in this case.
![C=5/9(f-32)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/nq1zgwz45f1biqxn32eznus1kigq2z5r4m.png)
or
![C=5/9f-5/9(32)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/hkilp6kvfhjw1ry0gsrpkg9vka00fx63i8.png)
You can see the slope of the graph is
which means that for an increase of 1 degree Fahrenheit, the increase is
.
![c=5/9(f)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/te3o7q5ee582s08d1gwi62gdl0vziiojo9.png)
![c=5/9(1)=5/9](https://img.qammunity.org/2021/formulas/mathematics/middle-school/vofhb83nfgf1ryuua2412s2qgwsx31yrv9.png)
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
![c=5/9(f)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/te3o7q5ee582s08d1gwi62gdl0vziiojo9.png)
![1=5/9(f)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/m38y2cpopg23hrbk258wys5pdftgnc1ssd.png)
![f=9/5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/5mf5vey8bjxe1mpq2fafrgchfkew3zdnwq.png)
Since
Statement 2, 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
degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:
![c=5/9(f)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/te3o7q5ee582s08d1gwi62gdl0vziiojo9.png)
![c=5/9(5/9)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/h4ftdcy4bbhp5ls0jwakmirzrk12tcyq0i.png)
which is ≠ 1)
An increase of
degree Fahrenheit leads to an increase of
![25/81](https://img.qammunity.org/2021/formulas/mathematics/middle-school/2j8pvzcbpaj7rdo38zbt6hq5v5p3an4xmu.png)
not 1 degree, Celsius, and so Statement III is not true.
The final answer is D.
I hope this helped x