Answer:
2) The temperature is 20°C
3) The temperature increased 16°F
4) The temperature increased at a rate of 5°F/hour
5) The temperature decreased 7°F
6) Between 8 a.m. and noon
7) No, it's not reasonable
Explanation:
2) In this item all you need to know is how to convert Fahrenheit to Celsius
![T[F]=\frac{9}{5} *T[C] + 32](https://tex.z-dn.net/?f=T%5BF%5D%3D%5Cfrac%7B9%7D%7B5%7D%20%2AT%5BC%5D%20%2B%2032)
Clearing the equation
![T[C]=(T[F]-32)*\frac{5}{9}](https://tex.z-dn.net/?f=T%5BC%5D%3D%28T%5BF%5D-32%29%2A%5Cfrac%7B5%7D%7B9%7D)
![T[C]=(68-32)*\frac{5}{9}](https://tex.z-dn.net/?f=T%5BC%5D%3D%2868-32%29%2A%5Cfrac%7B5%7D%7B9%7D)
![T[C]=20 C](https://tex.z-dn.net/?f=T%5BC%5D%3D20%20C)
3) Just a difference between the final temperature and the initial temperature
![difT[F]=T[final] - T[initial]](https://tex.z-dn.net/?f=difT%5BF%5D%3DT%5Bfinal%5D%20-%20T%5Binitial%5D)
![difT[F]=84 F - 68 F](https://tex.z-dn.net/?f=difT%5BF%5D%3D84%20F%20-%2068%20F)
Important: the sing of the difference only gives you an idea if the temperature increased (+) or decreased (-)
The temperature increased 16°F
4) If the temperature rose at a steady rate that means that in each hour of the range you are evaluating the temperature increased in the same ammount of degrees. So:
- As said in item 2) betweetn 8 a.m. and noon the the temperature increased 20°F
- Between 8 a.m. and noon, 4 hours passed.
To determine the rate per hour:

The temperature increased at a rate of 5°F/hour
5) Another difference between the final temperature and the initial temperature
![difT[F]=T[final] - T[initial]](https://tex.z-dn.net/?f=difT%5BF%5D%3DT%5Bfinal%5D%20-%20T%5Binitial%5D)
![difT[F]=77 F - 84 F](https://tex.z-dn.net/?f=difT%5BF%5D%3D77%20F%20-%2084%20F)
The temperature decreased 7°F
6) To determinate that you need to compare the rates of each period. For the period between 8a.m. and noon it was calculated in item 4).
For the period between noon and 4p.m. :


As can be seen, between 8 a.m. and noon the temperature changed more rapidly
7) No, it's not reasonable because if the tempature rate between noon and 4 p.m. was 1.75 °F/hr, it´s unlikely ot turn to 11°F/hr (from 77°F to °F in 2 hours) in the following hours.