Algebra House
  • Ask a Question
    • Answered Questions
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
  • Contact
    • Contact Algebra House
    • Leave a Tip


​Algebra 1   State Test Practice

Modeling with a Quadratic Function

9/15/2018

 
The manager of a company uses the function shown to model its profit based on the price of a product in dollars, x.

f(x) = (x - 2)(53 - x)
​
A.)  What is the minimum price, 
in dollars, to avoid a loss?
B.)  What is the maximum price, 
in dollars, to avoid a loss?
C.)  What is the price, in dollars, that 
results in the greatest profit?

If you use the graphing calculator, you will see:

The graph of this quadratic function would be a parabola, with:
- the x-axis representing the price of the product 
- the y-axis representing the total profit
Picture
A.)  $22 is the minimum price to avoid a loss    {an x-intercept where the profit is $0}
B.)  $53 is the maximum price to avoid a loss   {an x-intercept where the profit is $0}
C.)  $37.50 is the price that results in the greatest profit   {the maximum/vertex of the parabola}
​
Ask Algebra House
​

Comments are closed.

    Ask a Question

    Algebra 1 State Test Practice Playlist
    Picture


    Algebra 1 State Test Practice Archives

    March 2021
    February 2021
    January 2021
    December 2020
    January 2020
    December 2019
    November 2019
    October 2019
    September 2019
    August 2019
    April 2019
    March 2019
    February 2019
    January 2019
    December 2018
    September 2018
    February 2018
    January 2018
    December 2017
    November 2017
    September 2017
    April 2017
    March 2017
    February 2017
    December 2016
    November 2016
    October 2016
    September 2016
    January 2016
    December 2015
    November 2015
    October 2015
    September 2015
    July 2015
    April 2015
    March 2015
    February 2015
    January 2015
    December 2014









Algebra House
  • Ask a Question
    • Answered Questions
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
  • Contact
    • Contact Algebra House
    • Leave a Tip