The city of Phoenix, Arizona, has laid out their main city streets in a linear grid. Roads run north to south or east to west. Finding intersections of the streets is pretty easy, since every road is a straight line. Imagine if Phoenix has used only curved roads, or circular roads, or roads that bent and went off in different directions. Thinking of those roads in Phoenix as linear equations, we will now solve systems that have non-linear equations in them using graphs. These graphs will serve as your GPS to find the intersections of the “roads.” Essential Questions After completing this les
The city of Phoenix, Arizona, has laid out their main city streets in a linear grid. Roads run north to south or east to west. Finding intersections of the streets is pretty easy, since every road is a straight line. Imagine if Phoenix has used only curved roads, or circular roads, or roads that bent and went off in different directions. Thinking of those roads in Phoenix as linear equations, we will now solve systems that have non-linear equations in them using graphs. These graphs will serve as your GPS to find the intersections of the “roads.” Essential Questions After completing this lesson, you will be able to answer the following questions: How can graphing be applied to solving systems of non-linear equations? How can constraints be used to model a real-world situation?
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