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Axia College Material
Appendix D

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, many homeowners are becoming amateur landscape artists.

Imagine you are a homeowner getting ready to sell your home. You realize there are some landscaping problems you want to address so your home will sell quickly and you can get the best price. After making this decision, you realize there are many things to consider when landscaping the backyard, such as budget, time, and space.

Application Practice

Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.

1. You are planning to spend no less than $6,000 and no more than $10,000 on your landscaping project. a. Write an inequality that demonstrates how much money you will are willing to spend on the project. $6,000<_x<_$10,000

b. For the first phase of the project, imagine you want to cover the backyard with decorative rock and plant some trees. You need 30 tons of rock to cover the area. If each ton costs $60 and each tree is $84, what is the maximum number of trees you can buy with a budget of $2,500? Write an inequality that illustrates the problem and solve. Express your answer as an inequality and explain how you arrived at your answer.

T<_8 Assuming maximum number of trees is (x), total expenditure 2,500, equation 60(30)+84(x)=2,500
84x=2,500-1,800
X=700/84
X=8.33
8 or less

c. Would five trees be a solution to the inequality in Part b? Justify your answer.

Yes, it would be
T<_ 8 if replaced with 5 you will get

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