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Mat/117 Week 8

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MAT 117 Week 8 CONCEPT APPLICATION

Answer the following questions. Use Equation Editor or MathType when writing mathematical expressions or equations. Points will be deducted if a math editor is not used to properly format your work. First, download and save this file to your hard drive by selecting Save As from the File menu. Save with the filename: yourLastnameFirstnameMat117Week8CA. Click the 3rd column to enter your work, the rows will automatically expand as you enter text. Attach your completed document and post to the Assignments Section.

|# | |Show your work and final answer in this column. |- Pts |+ Pts |
| | |Include units when applicable. | | |
|1 |A plasma TV company determines that its total profit on the production and sale of x TVs is given by: [pic] | |0 |0 |
|a |Will the graph of this function open up or down? | | |2 |
| |How can you tell by looking at the equation? | | | |
|b |As the number of TV’s produced increases, what | | |2 |
| |happens with the profit? | | | |
|c |How do you know how many solutions there are to the| | |5 |
| |function? Show how you determined the nature of | | | |
| |the solutions using the Discriminant. | | | |
|d |Find the solutions and explain what these solutions| | |5 |
| |represent. Use the Quadratic Formula. | | | |
|e |How many TV’s must be produced to reach a minimum | | |4 |
| |or maximum profit? Show your work in detail. | | | |
|f |What is this minimum or maximum profit? Show your | | |4 |
| |work in detail. | | | |
|g |What is the vertex of this graph? Describe what | | |4 |
| |this point represents for this function. | | | |
|h |Provide a graph of this function. Include | | |6 |
| |solutions (roots), vertex, axis of symmetry, and | | | |
| |labels for each. | | | |
|2 |If an object is tossed into the air the path of this object is represented by the equation[pic], where h is | |0 |0 |
| |the height after t seconds, a is the acceleration due to gravity, b is the initial velocity, and c is the | | | |
| |initial height. | | | |
|a |A rocket is thrust vertically upward from the top | | |2 |
| |of a tower 80 feet tall, with an initial velocity | | | |
| |of 64 ft/s, (the acceleration due to gravity is | | | |
| |-16ft/sec). Write the quadratic equation | | | |
| |representing this scenario when h is 0. | | | |
|b |Find the roots (solutions) for this quadratic | | |4 |
| |equation, solving by factoring. | | | |
|c |How high will the rocket be after 3 seconds? | | |4 |
|d |How long will it take for the rocket to hit the | | |2 |
| |ground? | | | |
|e |Given the graph of the equation, identify and appropriately label, the vertex, solutions | | |4 |
| |or roots, all intercepts, and axis of symmetry. | | | |
| |[pic] | | | |
| | |Totals | | |
| |Post according to directions (Filename & Certificate of Originality). | | |1 |
| |Use a math editor to type all math text. | | |1 |
| | |10% deduction per each day late. | | |
| |Comments: |Score | | |

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