MAT 116 Algebra 1A

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

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 be willing to spend on the project.

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.

c) Would 5 trees be a solution to the inequality in part b? Justify your answer.

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.)
a) What are the coordinates of Tree A? Plant B? Plant C? Patio D? Plant E? Plant F?

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 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 equation

.

Complete the table for this equation.

x y (x,y)
-1
-2
-4
2
8

e) What objects might be in the way as you lay the pipe for the sprinkler?

  1. 👍 0
  2. 👎 0
  3. 👁 261
  1. What is your question? If the copy and paste method did not work, you need to type out all the information and the question.

    Please repost with the complete inquiry.

    Thanks for asking.

    1. 👍 0
    2. 👎 0
  2. Initial Budget:
    $80,000 loan from family
    $38,250 small business loan from bank
    All loans to be repaid in 10 years

    1. You have recently found a location for your bakery and have begun implementing the first phases of your business plan. Your budget consists of an $80,000 loan from your family and a $38,250 small business loan. These loans must be repaid in full within 10 years.
    a) What integer would represent your total budget?

    b) Twenty-five percent of your budget will be used to rent business space and pay for utilities. Write an algebraic expression that indicates how much money will be spent on business space and utilities. Do not solve.

    c) How much money will rent and utilities cost? Explain how you arrived at this answer.

    d) Suppose an investor has increased your budget by $22,250. The investor does not need to be repaid. Rather, he becomes part owner of your business. Will the investor contribute enough money to meet the cost of rent and utilities? Support your answer, and write an equation or inequality that illustrates your answer.

    e) This equation illustrates your remaining funds after paying for rent and utilities. How much money is left? Explain how you arrived at your answer.

    $38,250 + $80,000+ $22,250-0.25($80,000 + $38,250) =

    1. 👍 0
    2. 👎 0
  3. 1) you are planning to spend no less than $6,000 and no more than $10,000 on your landscaping project.
    Q1: write an inequality that demonstrates how much money you will be willing to spend on the project.
    A1: 6,000 greater than > and equal = to 10,000

    Q2: 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.

    A2: 30(60) + 84x = 2500
    1800 + 84x = 2500
    subtract both sides by 1800 to get:
    -1800 + 84x = 2500-1800
    84x = 700
    divide both sides by 84 to get:
    x = 8.33

    1. 👍 0
    2. 👎 0
  4. Complete the table for this equation.

    x y (x,y)
    -1
    -2
    -4
    -4
    8

    1. 👍 0
    2. 👎 0
  5. estimates the price of gasoline in January of each year (Bureau of Labor Statistics, 2006).
    a) Do you expect the lines to be intersecting, parallel, or perpendicular? Explain your reasoning.

    b) Use the equations of the lines to determine if they are parallel. What did you find?

    c) Did your answer to part b confirm your expectation in part a?

    1. 👍 0
    2. 👎 0
  6. grkbsoq zejvxopl xdtiwa kadphnf gtimfyquz koargjnbp ovkwc

    1. 👍 0
    2. 👎 0
  7. at a local community college,it costs $500 to enroll in a morning section of algebra course. suppose that thevariable n stands for the number of students who enroll. then 500n stands for the total amount of money collected for this course. how much is collected if 46 students enroll? 82 students? 240 Students?

    1. 👍 0
    2. 👎 0
  8. If 46 students enrolled, the amount collected will be 500(46) = $23000
    if 82 enrolled,
    500(82) = $41000 and if 240 enrolled
    500(240) = $120,000

    1. 👍 0
    2. 👎 0
  9. A driver who drives at a speed of r mph for t hr will travel a distance d mi given by d = rt mi. How far will a driver travel at a speed of 61 mph for 5 hr? What is the distance traveled?

    1. 👍 0
    2. 👎 0
  10. Mat/116 Algebra 1 A

    1. 👍 0
    2. 👎 0
  11. 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 (c)c) Would 5 trees be a solution to the inequality in part b? Justify your answer

    1. 👍 0
    2. 👎 0
  12. Math 116, Week 4 Checkpoint, Graphing Equations

    Graph the equation and identify the y-intercept.
    y = ½ x

    Graph the equation and identify the y-intercept.
    y = 5x – 5

    Graph the equation and identify the y-intercept.
    y + x = -5

    Graph the equation and identify the y-intercept.
    x + 2y = 8

    The value, v, of a shopkeeper's inventory software program is given by v = -1/2t + 4, where t is the number of years since the shopkeeper bought the program. What is the program worth 9 years after it is first purchased?
    Plot the point with the given t-value, 4.

    Find the y-intercept and x-intercept for the equation.
    4x + 3y = 48
    (Type an ordered pair.)

    Use the intercepts to graph the equation.
    x + 2y = 4

    Find the intercepts and then use them to graph the equation.
    5y – 15 = 5x

    Find the intercepts and then use them to graph the equation.
    y = -5 – 5x

    Graph the equation.
    y = 6

    Graph the equation by plotting points.
    21 – 3y = 0

    Graph the line containing the given pair of points and find the slope. (7,0) and (2, -2)

    Find the slope, if it exists, of the line containing the points (-2, ½) and (-6, ½).
    m =
    (Simplify your answer. Type as integer or fraction. Type N if the slope is undefined.)

    A roof raises 1.2 feet vertically and 12.9 feet horizontally. What is the grade of the roof?
    The grade of the roof is %.

    Find the slope, if it exists.
    y = -5x + 8
    m =
    (Simplify your answer. Type as integer or fraction. Type N if slope is undefined.)

    Find the slope, if it exists.
    3x – y = 7
    m =
    (Simplify your answer. Type as integer or fraction. Type N if slope is undefined.)

    Find the slope, if it exists.
    y = -2.17x
    m =
    (Simplify your answer. Type an integer or a decimal. Type N if the slope is undefined.)

    Find the slope, if it exists.
    2x – 4y + 17 = 0
    m =
    (Simplify your answer. Type an integer or a fraction. Type N if the slope is undefined.)

    1. 👍 0
    2. 👎 0
  13. V = 1/5 ð t^2 s

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. social studies

    Describe the major physical and human features of the location where you live, such as the landscape, weather, and population. What theme of geography are you using in your description? I just need help on second part

  2. tech and ela GACA

    for questions 1-3 use context clues to determine the meaning of the bold underlined word (;;;) Vehicles ;;;depreciate;;; in value quickly unless they are classic antiques or unique cars which may increase their value decrease in

  3. Introduction to Graphic Design

    Hello! Thanks for checking my question out! ____ 8. Which of the following is one of the ways in which graphic design has become safer through technology? (1 point) a) New technologies, such as computer equipment and smartphones,

  4. art

    aesthetics refers to what an individual finds beautiful. what about this image would most likely be considered beautiful? A. the serene landscape B. the graphic battle scene C. the city scene in the background D. the reference to

  1. quick algebra question

    When asked what quadrant the coordinate (0,0) is in, should I put None or Origin as my answer? It is by definition the origin. It is not in any of the four quadrants. I would put "origin." Orgin would get my vote too. I think in

  2. Science

    Read the scenario. Scientists have created an exact scale replica of a rover currently found on Mars and a miniature 3D landscape identical to that where the rover is currently located. Before sending the rover over the

  3. Geography

    What do geographers mean when they discuss and areas landscape

  4. Art

    How do landscape paintings convey the value and ideas of Chinese culture? 1.Landscape paintings show chaotic, and unhappy culture 2.Landscape Paintings reveal the importance of natural history to the Chinese 3.Landscape paintings

  1. (Pre-Algebra) A

    Lesson 7: Coordinate Plane Essential Algebra Readiness(Pre-Algebra) A Unit 4: Real Numbers and the Coordinate Plane Has anyone done the Coordinate Plane Practice AND assessment? 1. Which point is located at (-3, -2)? (1 point)

  2. Art

    How would the artist ensure that the backgroud imagery appears to be in the distance? Landscape with a staircase and a balustrade by Jean Baptiste Oudry.

  3. history

    What geographical advantage does the Italian landscape have over the Greek landscape?

  4. Maths

    A class test consists of 4 Algebra questions,W ,X,Y and Z, and 4 Geometry questions,A,B,C and D.The teacher decides that the questions should be arranged in two sections.Algebra followed by Geometry,with questions in each section

You can view more similar questions or ask a new question.