Activity Overview
The aim of this activity is for students to use a table of values to compare two linear functions through the context of taxi and ride-share fares. After obtaining an estimate from the table of values, students then proceed to the algebraic solution.
Objectives
The aim of this activity is to provide a context and concept for solutions to simultaneous equations. Students start by exploring a table of values using their calculator and work towards solving the equations simultaneously (by hand).
Vocabulary
- Simultaneous Equations
- Equation
- Table of values
About the Lesson
Students solve simultaneous equations numerically and algebraically. The calculator is used to generate a table of values for two different transportation fares: taxis and ride-share. The table of values clearly shows which form of transport is cheaper at each distance. Students verify the observed values using algebra.