Pu l l I t Al l T o g e t h e r
To solve th ese
problem s
you will pull
to g e th er many
concep ts and
skills th a t you
have studied
about quadratic
fu n ctio n s and
equations.Co m p l et i n g t h e Pe r f o r m a n c e Task
Look back at your results from the Apply What You’ve Learned sections in Lessons 9-2,9-3,
and 9-4. Use the work you did to complete the following.- Solve the problem in the Task Description on page 545 by finding the dimensions of the
sign that will have the greatest possible area. What is this area? Show all your work and
explain each step of your solution. - Reflect Choose one of the Mathematical Practices below and explain how you applied
it in your work on the Performance Task.
MP 2: Reason abstractly and quantitatively.
MP 4: Model with mathematics.
MP 5: Use appropriate tools strategically.
On Yo u r Ow n
Another store has a wall that is a right triangle with a base of 10 m and a height of 15 m. The
manager plans to order a rectangular sign to hang on this wall. Two sides of the sign will
align with the perpendicular sides of the wall. The fourth corner of the sign will be on the
third side of the wall, as shown in the figure below.
a. What are the dimensions of the sign that will have the greatest possible area?
b. What is the maximum area of the sign?602 Chapter 9 Pull It All Together