Required Resources
Read/review the following resources for this activity:
- OpenStax Textbook Readings
- Lesson in Canvas
- Assignments in Knewton
- The Vertical Line Test and Graphs of Functions
- Graph a Quadratic Equation
- Radical Functions
Initial Post Instructions
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.
ANSWER:
I found this great example on compound interest. It’s always good to know the formulas banks use so we can make better decisions on where we want our money to grow.
“A GENERAL NOTE: THE COMPOUND INTEREST FORMULA
Compound interest can be calculated using the formula
A(t)=P(1+r/n)nt
Where;
- A(t) is the account value,
- t is measured in years,
- P is the starting amount of the account, often called the principal, or more generally present value,
- r is the …. To continue reading, click on the button below.