Writing a Linear Function from a Real-World Scenario

Question:
A gym membership costs 25 dollars per month after an initial enrollment fee. A member pays a total of 160 dollars after 4 months and 285 dollars after 10 months. Part a: Write a linear equation in the form y equals m x plus b, where y represents total cost and x represents number of months. Part b: Identify the enrollment fee and monthly rate. Part c: How much will a member pay in total after 18 months?

Writing a Linear Function from a Real-World Scenario

This lesson guides students through building a linear equation in slope-intercept form from two given data points representing a gym membership scenario. Students learn to interpret the slope as a rate of change and the y-intercept as a fixed starting cost, then use the equation to make predictions.

In this lesson, you will learn to:
• Write a linear equation in slope-intercept form using two given data points
• Interpret t