Unit+3+Journal

__ 3.1: __
After watching the video above on graphing, you need to match the inequality statements below in the document below with their corresponding graphs. In your wikispace journal, explain your entire thought process (from your first match to your last) and how you narrowed down the choices and knew which graph matched which inequality statement.
 * [|Graphing Simple Inequalities] **

__ **Summarize what we did in class today.** __ Explain what similar features are shown in the graph x>5 as you would graph it on a number line and x>5 as you would graph it on a coordinate plane. Also explain the similarities of x<=3 as graphed on a number line and x<=3 on a coordinate plane. Explain how this same thinking applies to y<2x+1 ?? How do you know which side of the line should be shaded since the line is slanted? Be sure to explain the short-cut method as well as the algebraic method you could use to prove that the correct side of the line has been shaded.

__ 3.3: __
__ **(Looking at graph on page 113)** __ Write the inequality whose graph is shown. Explain every step of your thinking and how you came up with the inequality.

__ **3.4:** __
Looking at the shaded graph in the document below, you need to identify a point that is a solution to the system and explain how you know it is a solution by looking at the graph. Also, identify a point that is a solution to only one of the inequalities, but NOT a solution to the system. Explain how you might test a point to determine whether it is a solution to the system or not?

[|3.4.doc]

__** 3.5: **__
=== **You want to open your own truck rental company. You do some research and find that the Motor Masters truck rental companies in your area charge a flat fee of $40 plus $0.30 for every mile driven. In your classroom binder, write an equation for the cost of renting a truck from Motor Masters rental company. Also in your classroom binder, create a graphical representation of the cost of renting a truck from Motor Masters. Be sure to label both the x and y-axis in context.** ===

A.) In your wikispace journal, explain what you would need to change about the graph and the equation if you wanted to show the possible costs for a company who was charging LESS than Motor Masters.

B.) You want to charge less for your truck rentals so you can advertise your lower rate and get more business for your company. In your online journal, explain the following:


 * If you can only change one cost item (either the **flat fee** OR the **mileage fee**), which would you change and why? How would this change help your company charge customers less? Remember to think about which change would be better for the customers and which change would be better for your company... even though any change will be better advertising for your company. Be sure to include the new equation that you have chosen to charge with your new adjusted prices.