Landscape DesignLandscape 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 artistsSuppose 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 spaceApplication PracticeAnswer the following questions . If appropriate use Equation Editor to show your work . First save this to your hard drive by selecting Save As from the menu . Click the white space below each question to maintain proper formattingYou are planning to spend no less than 6 000 and no more than 10 000 on your landscaping projectWrite an inequality that demonstrates how much money you are willing to spend on the projectLet us assume that the money spent on the project is equal to xSince money spent will be no less than 6 000 and no more than 10 000 therefore Combining both inequalities Suppose you want to cover the backyard with decorative rock and plant some trees as the first phase of the project . 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 Cost of one tree 84Let us assume that the number of tree is equal to t therefore Since one cannot not buy a portion of a tree and there is not enough money to buy nine trees therefore Would 5 trees be a solution to the inequality in part b ? Justify your answer . Because five is less than eight and the cost of five trees is also less than the cost of eight trees so it will under budget of 700 for treesThe coordinate graph of the backyard shows the location of trees plants the patio and utility lines (If necessary you may copy and paste the image to another document and enlarge ita)What are the coordinates of Tree A ? Plant B ? Plant C ? Patio D ? Plant E Plant FThe coordinate of Tree A is (-20 20The coordinate of Plant B is (-20 -4The coordinate of Plant C is (-10 -14The coordinate of Patio D is (12 12The coordinate of Plant E is (8 -8The coordinate of Plant F is (18 -12b) The water line is given by the equationc) What is the slope and y-intercept of the line in part b? How do you know?d) Suppose you want to add a sprinkler system and the location of one section of the sprinkler line can be described by the equatione) What objects might be in the way as you lay the pipe for the sprinkler?

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