Describe a real-life setting in which a systems of equations approach would be useful. Identify a problem situation or exploration you will engage in which will require you to apply linear functions to real-life setting.

Essay and solving equations

Description

Write a brief statement of the following:

Brief statement of the real-life setting problem you intend to solve. Here you would explain the problem, why its important and what you hope to show/analyze. Data or equation you intend to analyze. Here you should present data that you will gather or data that you have found on a particular website. (No more than one-two paragraphs)

Describe a real-life setting in which a systems of equations approach would be useful. Identify a problem situation or exploration you will engage in which will require you to apply linear functions to real-life setting.

Describe another setting in which a systems of equations approach would be useful. Present data for an application of your choice.

Write a linear equation of the form y1 = mx + b for your first set of data. Graph this equation on the xy-plane and label it as y1. You may use Excel to graph. Also, be sure to include a title on the graph and labels on the x- and y-axes.

Write a linear equation of the form y2 = mx + b for the other equation in your system. Graph this equation on the same graph. You will now have two lines on the same graph. These should intersect.

Find the point of intersection for y1 and y2 algebraically (by setting the equations equal to each other and solving). Show your work and also plot this point on the graph.

Analyze the data and explain what the intersection means, in terms of the problem. Is there a ‘best’ solution to your problem? If so, under what conditions?

Conclude your project with a short summary of what you learned from the data you chose to write about.

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