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Chapter 9 Lesson 2 Part 2 and Lesson 3

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1 Chapter 9 Lesson 2 Part 2 and Lesson 3
Real World Problems Involving Coordinates

2 In the diagram, triangle ABC represents a plot of land.
Give the coordinates of ABC. Mr. Manning wants to build a fence around the plot of land if BC is 6 meters, how much fence does he need?

3 A pole is located at point D on the plot of land at a distance of 10 meters from AB and 5 meters from AC. Give the coordinates of point D. 1 Grid square represents 5 meters 10 m = _____ divided by 5 = _______ grid squares

4 In the diagram, rectangle PQRS represents a parking lot of a supermarket. The side length of each grid square is 4 meters. Give the coordinates of the points. How many meters would it take to build a wall around the lot?

5 Your Turn Solve the following Problems.

6 21. Give the coordinates of points J, K, L, and M.
22. Find the sum of the parallel sides, and the height of trapezoid JKLM in meters.

7 24. Jason measured the length of JK and found it to be is 22. 8 meters
24. Jason measured the length of JK and found it to be is meters. Find the perimeter of the stage in meters. 25. A cross is marked at point N on the stage for an upcoming production. Point N is at a distance of 9 meters from JM and 15 meters from ML. Give the coordinates of point N and plot it on the coordinate plane.

8 Try One More….

9 Find the Area of the Park by plotting the points and finding the distance between each one.

10 Shannon’s wage, w dollars, for working h hours, is given by w 5 8h
Shannon’s wage, w dollars, for working h hours, is given by w 5 8h. Graph the relationship between w and h. Use 2 units on the horizontal axis to represent 1 hour and 2 units on the vertical axis to represent $8.

11 What type of graph is it? It is a _________________ graph.
What is Shannon’s wage if she works for 3.5 hours? From the graph, Shannon’s wage is $_________. How long must Shannon work for in order to earn $40? From the graph, Shannon must work for ________ hours.

12 Michelle wants to rent a book from a second-hand bookstore
Michelle wants to rent a book from a second-hand bookstore. The rental fee, c dollars, after t weeks, is given by c 5 2t 1 4. Graph the relationship between c and t. Use 2 units on the horizontal axis to represent 1 week and 1 unit on the vertical axis to represent $2.

13 The rental fee for a book Michelle borrowed is $12
The rental fee for a book Michelle borrowed is $12. How many weeks did she keep the book? Michelle has borrowed the book for 5 weeks. She keeps the book for another 4 weeks. What is the rental fee of her book? If Michelle paid less than $10, how many weeks did she keep the book? Express your answer in the form of an inequality in terms of t, where t stands for the number of weeks.


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