Writing and Comparing Linear Function Rules

Question:
Two fitness centers offer membership plans. Center A charges 40 dollars per month with no enrollment fee. Center B charges 25 dollars per month with a 90 dollar enrollment fee. Part a: Write linear functions f of m and g of m for Centers A and B respectively, where m is the number of months. Part b: Graph both functions on the same coordinate plane. Part c: Find when both centers cost the same amount. Part d: For someone planning to use the gym for 12 months, which center is the better deal and by how much?

Writing and Comparing Linear Function Rules

This lesson uses a real-world cost-comparison context to build fluency with linear functions in slope-intercept form. Students write, graph, and interpret two linear functions, find their intersection algebraically, and use the break-even point to make a data-driven decision.

In this lesson, you will learn to:
• Write linear fun