Introduction
It's time for prom at Tim's high school and each ticket costs $100. Tim also wants to rent a limo for $75 for the night. Tim is going to save money for the ticket by cutting his neighbors' grass for $15 per week. Tim has already saved a total of $30 for his prom ticket. How many weeks will it take Tim to save up enough money to pay for the evening for him and his date?
This is a question which can be answered using a linear inequality. Linear inequalities can be used to represent a plethora of situations from maximizing profit for a company to deciding on the minimum amount of money needed for a date. In this lesson, you will learn how to graph inequalities and determine solutions to certain real-world situations.
Following successful completion of this lesson, students will be able to...
- Create equations in one variable and use them to solve problems.
- Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
- Graph piece-wise defined functions.
Enduring Understandings
- Operations create relationships between numbers.
- The language of mathematics is communicated through specialized vocabulary and symbols used to represent and describe mathematical ideas, generalizations, and relationships.
- By describing patterns using mathematics, we can make predictions and generalizations, analyze situations in everyday life, and sort and classify things.
The above objectives correspond with the Alabama Course of Study: Algebra II with Statistics standards: 10 and 13.