# Mathematics - Algebra

Landscape Design

Landscape designers often use coordinate geometry and algebra as they help their clients. In many regions, landscape design is a growing field. With the increasing popularity of do-it-yourself television shows, however, many homeowners are becoming amateur landscape artists.

Suppose you are a homeowner getting ready to sell your home. You realize that there are some landscaping problems that you want to address so that your home will sell quickly and you can get the best price. Since deciding to landscape your backyard, you have realized there are many things to consider, such as budget, time, and space.

Application Practice

Answer the following questions.

1.You are planning to spend no less than $6,000.....

a)Write an inequality that demonstrates....

b)Suppose you want to cover the backyard with decorative rock and plant.....

c)Would 5 trees be a solution.....

2.The coordinate graph of the backyard shows......

a) What are the coordinates.....

b)The water line is given by the equation

.

Suppose you want to put a pink flamingo lawn ornament in your backyard, but you want to avoid placing it directly over the water line, in case you need to excavate the line for repairs in the future. Could you place it at the point (-4,-10)?

c)What is the slope and y-intercept

d)Suppose you want to add a sprinkler system, and........

Complete the table for this equation.

x y (x,y)

-1

-2

-4

2

8

e)What objects might be in the way

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#### Solution Summary

Complete, Neat and Step-by-step Solutions are provided in the attached file.