Sep 10 (Function Families) Real Life Apps

Mr. Fields is a finance guru!. When he was a sophomore, he invested $1,000 in a stock market account that gained 2% a month. The amount in his equation can be modeled by

 $A\left(x\right)=1000\left(1.02\right)^x$  .  This function comes from which function family?

• Linear

• Quadratic

• Exponential

• Logarithmic

Mr. Gilbert said that the student council could build a square garden in the court yard. He also said that it could not be more than 100 square feet. The student council needs to purchase rubber edging to build the perimeter of the square garden. The amount of edging needed can be modeled by the equation

 $E=4\sqrt{A}$  where E is the feet of edging needed and A is the Area of the garden.  This equation is a:

• Linear Function

• Quadratic Function

• Square Root Function

• Exponential Function

The ferris city manager is deciding to build some decorative concrete pillars around the gazebo. He wants the posts to be no taller than 4 feet tall. The amount of concrete being used can be modeled by the function

 $v\left(h\right)=\pi h^3$  where h is the height and v(h) is the amount of concrete used.  What type of function is the equation modeling?

• Linear

• Quadratic

• Cubic

• Square Root

The Ferris Band is planning on selling 1,000 t shirts at an upcoming game. The shirts cost $750.00 to make. They plan on selling the shirts for $20.00 apiece. The profit function can be modeled by

 $f\left(x\right)=\text{20x-750}$  

• Linear

• Quadratic

• Exponential

• Square Root

Jenny decided to make a $1,000 deposit in a bank account and leave it there for her grandchildren to withdraw 50 years later. The growth of the account can be modeled by the equation

 $f\left(x\right)=1000\left(1.03\right)^x$  Which graph best represents the growth of the account?

• 
• 

The band spent $750.00 on 1000 t-shirts that they will sell for $20.00 apiece. This situation can be modeled by the function

 $f\left(x\right)=20x-750$  where x is the number of shirts sold and f(x) is the amount of profit.  Which of the tables shown best represents their profit?

• 
• 
• 

Mr. Rachel wants to invest $500 in an account called the "Unlikely Unicorn" that will gain 10% interest a year over the next 5 years. The equation can best be modeled by the equation

 $f\left(x\right)=500\left(1.10\right)^x$  where f(x) is the account balance, and x is the number of years that are invested. Which table below best represents the account balance over the next 5 years?

• 
• 
• 

The Imaginary ISD pays brand new teachers a $50000 annual salary to start working and they increase the salary $300 per year for each year of experience the teacher has. The teacher salary can be modeled by the equation

 $f\left(x\right)=50000+300x$  where x is the number of years the teacher has worked and f(x) is the amount of a teacher's salary based on their experience.  Which graph correctly models the teacher's salary?

• 
• 
• 

The balance over time of Mr. Rachel's investment in the "Unlikely Unicorn" account is shown in the table. Given that his investment is an exponential function lasting 5 years, what is the maximum value of the range?

• 0

• $500.00

• 5

• $2088.62

The band spent $750 on t-shirts they plan to sell. They are going to sell the shirts for $20.00. The profit can be modeled by the function f(x) = $20x - $750 where x is the number of T-shirts sold and f(x) is the Profit made. The table below shows Profit made based on the number of shirts sold. What is the minimum value of the range?

• $-750

• 0

• 1000

• $19,250