Activities

Choose one of the following activities:

Create a poster (to be scanned) or power point (to be uploaded) to illustrate one of the five ways to solve quadratic equations 1. Graphing 2. Square Roots 3. Factoring 4. Completing the Square 5. Using the Quadratic Formula

Student Example

or

Create and solve a problem involving gravity to include the following: 1. Beginning height of object 2. Amount of time in the air 3. Scientifically proven equation for gravity 4. Show the graph and the equation for the function

**An object is launched at** **19.6** **meters per second (m/s) from a** **58.8** **-meter tall platform. The equation for the object's height** //**s**// **at time** //**t**// **seconds after launch is** //**s**//**(**//**t**//**) = –4.9**//**t**//**2** **+ 19.6**//**t**// **+ 58.8** **, where** //**s**// **is in meters. When does the object strike the ground?**

[|Example]

Solve a problem involving building a fence around your garden or house

**A garden measuring** **12** **meters by** **16** **meters is to have a pedestrian pathway installed all around it, increasing the total area to** **285** **square meters. What will be the width of the pathway?**


 * You have a 500 -foot roll of fencing and a large field. You want to construct a rectangular playground area. What are the dimensions of the largest such yard? What is the largest area? **

[|Example2]

Solve a problem involving maximizing profit


 * Your factory produces lemon-scented widgets. You know that each unit is cheaper, the more you produce. But you also know that costs will eventually go up if you make too many widgets, due to the costs of storage of the overstock. The guy in accounting says that your cost for producing x thousands of units a day can be approximated by the formula C = 0.04x2 – 8.504x + 25302. Find the daily production level that will minimize your costs . **

[|Example3]

Advanced Project:

Use this spreadsheet to find how Company X can be more profitable. Find out the cost structure of their product. Map out the cost versus revenue structure. Compare the profitability at different price points. Find the right price point to maximize profits.

Ex.4 (p.164-166) Suppose that in a monopoly market the total cost per week of producing a high-tech product is given by C = 3600 + 100x + 2x 2 Suppose further that the weekly demand function for. this product is p = 500 2x. (a) Find the number of units that will give the break-even point for the product. (b) Find the maximum revenue. (c) Find the maximum pro t.

[|Example 4] [|Example 5]