Question

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.

Answer 1

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

$10x+5 \geq 200$

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