Real Life Business

Week 4 Real Life Application

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.

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. **Show all work, even if the problem does not specifically ask you to do so**

PART 1

You are planning to spend no less than $7,000 and no more than $12,000 on your landscaping Project.

1. Write an inequality that demonstrates how much money you will be willing to spend on the project. (2 pts)

7000 ≤x≤12000

2. Suppose you want to cover part of the backyard with decorative rock and plant some trees as the first phase of the project. You need 42 tons of rock to cover the area. Each ton cost $65 and each tree is $89, write an inequality to show the maximum amount of money you can spend on trees with a budget of $3,400 for Phase 1. (2 pts) Show your work using equation editor. (1 pt)

Using 42 tons of rock at $65 a ton will be the cost of the rock =42 x 65 =$2730 to purchase the rock.The total budget $3400 minus the purchase is:$3400-$2730= $670.Let the number of trees plantede be y.The inequatity is $2730 +89y≤3400;89y ≤670=y≤83.75

3. What is the maximum number of trees that you can buy without going over your budget? (1 pt) Show...