Education Technology

# Activities

• ##### Subject Area

• Math: Algebra II: Systems of Linear Equations and Inequalities

9-12

15 Minutes

• ##### Device
• TI-Nspire™
• TI-Nspire™ CAS
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.6

## Application of Linear Systems

#### Activity Overview

Students will solve a real-world problem about parking cars and buses using a system of linear inequalities.

#### Key Steps

• Visit MathNspired.com for additional Action Consequence activities and information.

Given a parking problem with constraints, students will write a system of linear inequalities. Students will drag a point into the different shaded regions created by the graph of the two inequalities. As they drag the point around, the word true or false will appear next to the inequalities. Students will determine what each shaded region represents.

• Students will use the Calculate tool to calculate the income generated from different combinations of cars and buses. After recording the values from different points inside the feasible region and the intersection point, students will determine which combination yields the maximum income.