MATH 116

Appendix D

STUDENT NAME

/

INSTRUCTIONS:

This is your Appendix D assignment for week 4.

As specified in your syllabus, you are to submit your assignment to your IF (Individual Forum) as an attachment in Microsoft word. This document is already a Microsoft word document therefore this is the only document you need to complete and submit for your checkpoint assignment.

Show your work:

Show Your Work: Use Equation Editor to show your work (Please review Equation Editor tutorial at http://corptrain.phoenix.edu/axiaee/eegt-01-intro.shtml). Use the space below the instructions to show your work. If no work is shown, you will NOT receive full credit. Show your work is worth 90% of the total points for each question. This means, if you only show the answer without your work, you will receive 0.1 points out of 1.0, a loss of 0.9 points!!!

*** Note***

Please indicate your answers to the problems for this portion of the assignment by typing the correct letter choice under the column titled “Your Answer”.


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, 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. 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.

Instructions/Show Work / Answer Choices / Your Answer
Question 1: You are planning to spend no less than $6,000 and no more than $10,000 on your landscaping project / N
a)  Write an inequality that demonstrates how much money you will be willing to spend on the project. / A)
B)
C)
D) / B
b)  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 cost $60 and each tree is $84, what is the maximum number of trees you can buy with a budget for rock and trees 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 represents TREES)
Show Your Work:
Lets Assume the maximum number of trees is x
So if total expenditure is 2,500
Then equation will be 60(30) + 84(x) = 2,500
84x = 2,500 – 1,800
x = 700 / 84
i.e.
x = 8.33
which means 8 or less than 8 / A)
B)
C)
D) / A
c) Would 5 trees be a solution to the inequality in part b? Justify your answer.
Show Your Work:
Inequality is
replacing t with 5
we get which is true / A) No, explain
B) Yes, explain / B
Question 2: The 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 it).
/ N
a) What are the coordinates of Tree A? Plant B? Plant C? Patio D? Plant E? Plant F?
Select the answer choice to the right / A)
Tree A (-10,10);
Plant B (-20,0); Plant C(-10,-1); Patio D (1,12), Plant E (3,-3); Plant F (15,-12)
B)
Tree A (-2,2);
Plant B (-2,-4); Plant C(-1,-1); Patio D (1,1), Plant E (8,-8); Plant F (8,-2)
C)
Tree A (-5,10);
Plant B (-5,-4); Plant C(-1,-4); Patio D (2,1), Plant E (8,-8); Plant F (18,-1)
D)
Tree A (-20,20);
Plant B (-20,-4); Plant C(-10,-14); Patio D (12,12), Plant E (8,-8); Plant F (18,-12) / D
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)?
Show Your Work:
Put x = -4 in line equation
Y = -2/3 (-4) – 12
Y = -9 1/3
So point -4 of x in water line will avoid -10 so it is possible to plant the tree at (-4,-10) / A) No, explain
B) Yes, explain / B
c) What is the slope and y-intercept of the line in part b? How do you know?
Show Your Work:
Put x = 0 to identify the y intercept in water line
.
Y intercept = -12
Formula for slope is change in y / change in x
Put y = 0 to identify the x coordinate
.
X = -18
So coordinate for water line will be
(0,-12) and (-18,0)
so slope will be 12/-18 = -2/3 / A) , explain
B) , explain
C) , explain
D) , explain / B
d)  Suppose you want to add a sprinkler system, and the location of one section of the sprinkler line can be described by the equation
.
Complete the table for this equation.
Show Your Work:
x / y / (x,y)
-6 / -1 / (-6,-1)
-2 / -3 / (-2,-3)
0 / -4 / (0,-4)
2 / -5 / (2,-5)
8 / -8 / (8,-8)
Put y = -1 and -4 in sprinkle line to determine x
. X = -6
. X = 0
Put x = -2, 2 and 8 in sprinkle line to determine y
. Y = -3
. Y= -5
. Y = -8 / Y
e) What objects might be in the way as you lay the pipe for the sprinkler?
Show Your Work:
Plant E might be in the way of pipe because its coordinate of (8,-8) lays on the sprinkler line / Y

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