Post on 05-Jan-2016
transcript
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AIM: How do we model real world situations with linear inequalities?
Topic: Modeling real world situations
DO NOW:
Graph the following linear inequality
6x + 8y ≥ 12
AIM: How do we model real world situations with linear inequalities?
Mini-Lesson/Guided Practice
Many situations are modeled by inequalities
that have a boundary line of the form
Ax + By = C. You can use the intercepts to
graph the boundary line of the inequality.
Choose a test point not on the boundary line
to determine whether the solutions are above
or below the boundary line.
Guided Practice
Guided Practice
Guided Practice
7-5 • Guided Problem SolvingGPS Student Page 408, Exercise 37
Budget Suppose you work at a local radio station.You are in charge of a $180 budget for new tapes and CDs. Record companies will give you 21 promotional (free) CDs.You can buy tapes for $8 and CDs for $12.
Let x = the number of CDs you can buy.Let y = the number of tapes you can buy.
a. Write an inequality that shows the number of tapes and CDs you can buy. b. Graph the inequality. possible, how many new recordings will the station get?c. Is (8, 9) a solution of the inequality? Explain what the solution means.d. If you buy only tapes and you buy as many as
Guided Practice
Guided Practice
Independent Practice
Independent Practice
Independent Practice
Homework• pp. 399-402
• Practice by example: ex. 2, 3, 6, 8
• Apply your skills: ex. 9, 13, 16, 20
• Challenge: ex. 24
• Test Prep: ex. 25–27
• Mixed review: ex. 29, 35, 41
Guided Practice• pp. 406: Examples 3.
• Quick Check 3
• p. 407: ex. 23
• p. 408 GPS: ex. 37
• Apply your skills: ex. 44