Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequality that can be used to determine the number of songs that he can purchase. Interpret the solution.

Answer:

To determine the number of songs Joseph can purchase, let x represent the number of downloads. Since each song costs $1.29 and he has a limit of $20, the inequality is 1.29x ≤ 20. To solve, divide both sides by 1.29, which gives x ≤ 15.503... Since he cannot buy a fraction of a song, he can download at most 15 songs.