Question

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. 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.

Required:
Respond to at least two peers in a substantive, content-specific way. Further the dialogue by providing more information and clarification.

Answer 1

Answer:

Now in the question we are told to choose our on function so for this solution the function which we will use is  

     $D = 18t + 2t^2$

In this function D is the distance in meters  which is been traveled at a given time t in seconds  

Now  it we want to obtain the distance traveled in t =  13  s

 This means that t = 13 s is the input of the function

So  we have

     $D = 18 (13) + 2* (13)^2$

=>   $D = 572 \ m$

So  D is  a function of  t

Now let consider one of the functions given in the question

  The circumference of a circle is a function of diameter.

Generally the circumference of a circle is mathematically represented as

     $C = \pi d$

Here $\pi$ is constant with value  $\pi = 3.142$and  d is the diameter (in meters)  of the circle  so

 if for example  d =  0.2 m , here the diameter  is the input

Then the circumference is  

     $C = 3.142 * 0.2$  

     $C = 0.6284 \ m$  

Step-by-step explanation: