Rochelle works part-time at the college museum, which pays her at a rate of $10 per hour. She also makes small bracelets that she sells for $5 a piece. She needs to earn at least $200 a week to cover her expenses. Let x represent the number of hours that Rochelle works at the museum, and let y represent the number of bracelets she sells. One of the graphs below shows the inequality that represents this situation, with its solution region shaded.

We know for our problem that Rachel makes $10 per hour. Since[tex]x[/tex] represent the number of hours that she works,  [tex]10x[/tex] will be the total amount that she will make for working [tex]x[/tex] hours. We also know that she sells bracelets for $5 each. Since [tex]y[/tex] represents the number of of bracelets that she sells, [tex]5y[/tex] will be her total revenue for selling [tex]y[/tex] bracelets. We also know that she needs to earn at least $200 a week to cover her expenses, so the sum of [tex]10x[/tex] and [tex]5y[/tex] must be equal or greater than 200:

[tex]10x+5 \geq 200[/tex]

We can conclude that the graphs that shows the inequality that represents this situation, with its solution region shaded is: