Interpreting Linear Functions in Real-World Context

Question:
A phone company's monthly bill is modeled by the function c of m equals 35 plus 0.12 times m, where m is the number of minutes used and c of m is the total cost in dollars. Part a: Identify the y-intercept and explain what it represents. Part b: Find the slope and interpret its meaning. Part c: If a customer uses between 200 and 800 minutes per month, find the domain and range of this function in this context.

Interpreting Linear Functions in Real-World Context

This lesson models a real-world monthly phone bill using a linear function in slope-intercept form. Students identify and interpret the slope and y-intercept in context, then determine a restricted domain and the corresponding range.

In this lesson, you will learn to:
• Identify the slope and y-intercept of a linear function written in slope-intercept form and interpret each in context.
• Evaluate a linear function at