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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