graphing inequalities

Question

Steve is trying to decide what to put on his MP3 player. Audio books are 3 hours long and songs are 2.5 minutes long. Steve wants no more than 4 audio books on his MP3 player, but at least ten songs and one audio book. Each book costs $15 an each song costs .95. Steve has $63 to spend on books and music. Graph the inequalities to show possible combinations of books and music Steve can have.

Answer 1

Let x represent the number of audio books and y represent the number of songs. Based on what is given, we have the following:  1<=x<=4 and y>=10, subject to 15x +0.95y <= 63.

When x=1, we get y as approximately 50.53, so if he buys one book he can buy no more than 50 songs.

When x=2, we get y as approximately 34.74, so if he buys two books he can buy no more than 34 songs.

When x=3, we get y as approximately 18.95, so if he buys three books he can buy no more than 18 songs.

When x=4, we get y as approximately 3.16, so if he buys four books he can buy no more than 3 songs.