Question

. Temperatures are normally expressed in degrees Celcius or degress Fahrenheit
A temperature reading expressed in degrees Celsius can be converted to degrees
Fahrenheit, and vice versa.

a. Determine a function F that expresses a given temperature in degrees
Fahrenheit to degrees Celsius.
Solution:

b. Determine a function C that expresses a given temperature in degrees Celsius
to degrees Fahrenheit.
Solution:​

Answer 1

Answer:

a. F=(9C/5)+32 where C represents temperature in degree Celsius.

b. C=(F-32)*5/9 where F represents temperature in degree Fahrenheit.

Answer 2

Given: Temperatures are normally expressed in degrees Celcius or degress Fahrenheit A temperature reading expressed in degrees Celsius can be converted to degrees Fahrenheit, and vice versa.

To find:

a. A function F that expresses a given temperature in degrees Fahrenheit to degrees Celsius.

b. A function C that expresses a given temperature in degrees Celsius to degrees Fahrenheit.

Solution:

Temperature is a quantity that can be measured by a various number of units. A few examples are Celsius, Kelvin, Fahrenheit, and so on. The unit Kelvin is the S.I. unit of temperature.

a.

According to the question, the temperature is given as a function F in Fahrenheit. The temperature when given in Fahrenheit can be converted into Celsius using the following formula.

$(F - 32) * \frac{5}{9}$

b.

According to the question, the temperature is given as a function C in Celsius. The temperature when given in Celsius can be converted into Fahrenheit using the following formula.

$(C*\frac{9}{5} ) +32$

Therefore,

1. A function F that expresses a given temperature in degrees Fahrenheit to degrees Celsius is (F-32)*9/5.

2. A function C that expresses a given temperature in degrees Celsius to degrees Fahrenheit is (C* 9/5 )+32.