Regents Exam: Algebra I August 2016 (Problem 20 of 37)

The video tutorial discusses how to calculate the cost of downloading songs from an online company. It introduces a problem involving a $5 membership fee and a 99-cent charge per song. The tutorial defines a variable expression for the total cost and evaluates different domain options for the variable representing the number of songs. After analyzing rational numbers, whole numbers, and integers, it concludes that whole numbers greater than or equal to one are the most appropriate domain for the variable.

What is the initial membership fee required to start downloading songs?

How is the total cost for downloading X number of songs expressed mathematically?

Why does the domain of rational numbers greater than zero not make sense for the number of songs?

What are the characteristics of the domain that includes whole numbers greater than or equal to one?

Explain why the option of integers less than or equal to zero is not appropriate for the variable X.