Writing a Linear Function from an Arithmetic Sequence

Question:
A video streaming service charges a one-time setup fee plus a monthly subscription. In month 1, the total cost is 25 dollars. In month 3, the total cost is 55 dollars. In month 6, the total cost is 100 dollars. Determine the monthly fee, which is the slope, the one-time setup cost, which is the y-intercept, and write a linear function C of m for the total cost after m months. What is the total cost after one year?

Writing a Linear Function from an Arithmetic Sequence

This lesson uses a streaming service pricing scenario to build a linear function from given data points. Students identify slope and y-intercept from a table of values, write the function in slope-intercept form, and use it to make predictions.

In this lesson, you will learn to:
• Calculate the slope (rate of change) from two data points
• Determine the y-intercept by substituting a known point into the linear e