1. In the real world, functions are mathematical representations of input-output

1. In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F – 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 – 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius.
2. To complete the Discussion activity, please do the following:
-Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
-Arm length is a function of height.
-The circumference of a circle is a function of diameter.
-The height of a tree is a function of its age.
-The length of person’s shadow on the ground is a function of his or her height.
-Weekly salary is a function of the hourly pay rate and the number of hours worked.
-Compound interest is a function of initial investment, interest rate, and time.
-Supply and demand: As price goes up, demand goes down.
3. If there are any questions feel free to let me know.