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 cost before downloading any songs from the online company?

• $10

• $0

• $5

• $0.99

Why is the set of rational numbers greater than zero not suitable for the domain of X?

• It only includes whole numbers.

• It does not include zero.

• It includes negative numbers.

• It allows for fractional song purchases.

Which domain is appropriate for the number of songs, X, to ensure only whole songs are purchased?

• Whole numbers less than or equal to one

• Integers less than or equal to zero

• Whole numbers greater than or equal to one

• Rational numbers greater than zero

Why are integers less than or equal to zero not a suitable domain for X?

• They do not include zero.

• They only include positive numbers.

• They include fractional numbers.

• They imply the company pays you to download songs.

What is the final recommended domain for the variable X?

• Whole numbers less than or equal to one

• Whole numbers greater than or equal to one

• Rational numbers greater than zero

• Integers less than or equal to zero