Check it out! 1 2.3.1: Solving Linear Inequalities in Two Variables.

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Presentation transcript:

Check it out! : Solving Linear Inequalities in Two Variables

Read the scenario. Use the information to complete the problems that follow. Sanibel wants to sell duct tape wallets at the farmer’s market. She bought $20 worth of tape to get started. She plans to charge $2.50 per yard of duct tape that she uses for each wallet, to pay for both the tape and for the time she spends making each wallet : Solving Linear Inequalities in Two Variables

1.Write an equation to show Sanibel’s revenue per wallet. 1.Graph the equation using graph paper. 2.What happens if Sanibel decides to charge $4 per yard? Write a new equation and graph the equation on graph paper : Solving Linear Inequalities in Two Variables 3

1.Write an equation to show Sanibel’s revenue per wallet. Write the equation in slope-intercept form (y = mx + b). Use the information from the scenario to fill in the equation. Let x = the amount of tape used to make each wallet. Sanibel plans to charge $2.50 per yard of tape. Charge for tape used = 2.50x Sanibel spent $20 on supplies. Since she hasn’t sold any wallets yet, show this amount as a negative. Initial cost for tape = –20 y = 2.50x – : Solving Linear Inequalities in Two Variables

2.Graph the equation : Solving Linear Inequalities in Two Variables

3.What happens if Sanibel decides to charge $4 per yard? Write a new equation and graph it. Modify the equation you wrote for problem 1 to reflect the new price per yard. Original equation: y = 2.50x – 20 Substitute the new price, $4, for the old price, $2.50. New equation: y = 4x – : Solving Linear Inequalities in Two Variables

Now graph it : Solving Linear Inequalities in Two Variables