Name: Date: School: Facilitator; ___ 0 8.05 Graphing Linear Inequalities This task requires you to create a graph. You have several options: Draw the graph by hand, then photograph or scan your graph; Use the Microsoft Word or Google Docs drawing tools to graph your data; or - Use the GeoGebra linked on the Task page of the lesson to create the graph; then, insert a screenshot of the graph into this task. For your summer babysitting jobs, you have 10 weeks to work before your family vacation and before you return to school in the fall. You are planning on earning and saving at least $1500 for your future car. Mrs. Harris is paying you $8.00 an hour to babysit during the day and Mrs. Sanchez is paying you $6.00 per hour to babysit her child in the evening. - Let x = the number of hours you babysit for Mrs. Harris - Let y = the number of hours you babysit for Mrs. Sanchez 1. Write an inequality describing the number of hours you want to work each week to reach your summer goal of at least $1500. Remember you have 10 weeks to work. How much do you want to average per week? 2. Graph this inequality and shade the area that includes all the solutions to your inequality. - - - =30 -25 =20 =15 =10 -5 0 &8 20 1S A0 a8 404580 1 ias - ien s e 30' 3. What is the boundary line? Is it a solid or dotted line? Why? 4. You cannot work more than 25 hours each week. How could you denote this on your graph? Remember you have 10 weeks to work. 5. You cannot work more than 25 hours a week. Give 3 reasonable solutions using your graph for the number of hours you could work for Mrs. Harris and Mrs. Sanchez and not exceed 25 hours a week. Use words and symbols to explain how you determined your