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Slope of a line - Building Parks in a City

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The number of parks, y, being built in a city over a period of time, x, is graphed on a rectangular coordinate system. Write a paragraph describing your interpretation when the slope is positive, zero, and negative. If you were buying a home in this particular city, which slope would be most attractive to you and why?

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Solution Summary

A detailed discussion on the possible values of slopes and which would be the most attractive to a buyer.

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x = Time in years and y = Number of new parks being built

To begin with, let us assume that the city already has 3 or 4 parks. Before taking up the construction of new parks, the city administration may decide to improve the existing parks. Therefore, at time x = 0, the number of new parks being constructed is y = 0.

With time, as the city grows, the administration plans to build new parks that ...

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