2.5 Applications of Linear Equations and Modeling

Miller & Gerken, College Algebra 2e — Pages 256-267

Learning Objectives

  • Create linear models from data

  • Interpret slope and intercept in context

  • Apply direct variation

  • Use linear regression concepts

Key Concepts

Direct Variation

\(y\) varies directly with \(x\):

\[y = kx\]

where \(k\) is the constant of variation.

Interpreting Linear Models

  • Slope = rate of change

  • y-intercept = initial value

Examples

Example 1. Example 1

Work through textbook example…​

Practice Problems

Problem 1 (p. XX, #YY)

Problem:

My Work:

Answer:

Section Summary

  1. Key point 1

  2. Key point 2

Study Notes

Personal observations…​