Write and graph a linear inequality that represents this situation.

Question

you have $48 to spend on music and movie downloads. each album download costs $5 and each movie download costs $8. let x represent the number of albums and y the number of movies.

Answer 1

The amount you spend can't be more than you have.  The amount you have is $48.  Each album is $5.  If you download A albums you would spend 5A on albums.  Each movie cost $8.  If you download M movies you would spend 8M.  48≥5A+8M.

 

The graph would have A on one axis and M on the other and would be a straight line.  The A intercept is where it crosses the A axis and where all the money is spent on albums (48/5).  The M intercept is where all the money is spent on movies and is at 48/8 = 6.  The area that should be shaded is between the line (including the line) and the origin.