Question

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

Jackie has fewer than 20 h to work on her jewelry. It takes her half an hour to make a necklace and an hour to make a bracelet. She wants to make x necklaces and y bracelets, and she wants at least twice as many bracelets as necklaces.

Select ALL inequalities that model this situation.

Answer 1

Jackie wants to keep her total work time under 20 hours, so we can set up a rough inequality right away:

(work time in hours) < 20

Now, it's going to take here 1/2 = 0.5 hours to finish each necklace, an 1 hour to finish each bracelet, so if she's making x necklaces, it'll take her 0.5x hours to make all of them, and if she's making y bracelets, it'll take her 1y = y hours to finish those. Putting the two together, it'll take her 0.5x + y hours altogether to make the necklaces and bracelets. Putting that together with our first inequality, we get the final inequality

0.5x + y < 20