1. Section 12.3: Modeling with Linear SYstems

2. Objective(s):
By following instructions, students will be able to:
use systems of linear inequalities or inequalities to model and solve contextual problems.

3. explain 1A
Write a system of equations to represent the situation, and then solve the system.
Alexis will buy coffee and hot chocolate for her friends. Each cup of coffee costs $2.25 and each cup of hot chocolate costs $ If she pays a total of $15.75 for 8 cups, how many of each did she buy?

4. explain 1B
Write a system of equations to represent the situation, and then solve the system.
Melanie is buying pens and markers for school. Packs of pens cost $2.75 each and packs of markers cost $3.25 each. IF she bought a total of 6 packs and spent $17.50, how many of each did she buy?
Create a table to organize the information.

5. Your-Turn #1
Write a system of equations to represent the situation, and then solve the system.
Downey High School has to buy computers and printers. Each computer costs $550 and each printer cost $390. If Downey High School spends $8160 and buys a total of 16 machines, how many of each did it buy?

6. explain 2A
Write a system of inequalities to represent the situation, and then solve the system.
Alex is buying T-shirts and shorts. T-shirts costs $14 and shorts cost $21. He plans on spending no more than $147 and buy at least 5 items. Show and describe all combinations of the number of T-shirts and shorts he could buy.

7. explain 2B
Jose has to buy two different kinds of action figures to put in his nephew’s party favors. Each Superman action figure cost $.60 and each Batman action figure cost $.90. Jose needs to buy at least 15 action figures, but he wants to spend no more than $18. Show and describe all combinations of the number of action figures of each type Jose can buy.

8. Revisit Objective(s):
Did we...
use systems of linear inequalities or inequalities to model and solve contextual problems?

9. HW:
Sec 12.3 pg 453 #9-16, 23-24