Chapter 9 Lesson 2 Part 2 and Lesson 3

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Presentation transcript:

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

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?

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

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?

Your Turn Solve the following Problems.

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.

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 22.8 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.

Try One More….

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

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.

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.

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.

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.