This activity is intended to supplement Algebra I, Chapter 12, Lesson 1.
Time required: 30 minutes
Students will examine a set of ordered pairs that vary inversely. They will plot the ordered pairs and explore the graph and table for relationships. Students will also graph the inverse variation and determine whether it is a function.
Topic: Rational Functions & Equations
Given the values of two variables that vary inversely, determine the rational function that relates them.
This activity is appropriate for an Algebra 1 classroom or review for an Algebra 2 class.
Be sure that students have cleared all lists before beginning. To do this, press STAT, then select ClrAllLists.
Students will then create a scatter plot of the data using Plot1.
An inverse variation could be in Quadrants II or IV, if the coefficient is negative.