Question

Rendering math... Tonisha is planning to make and sell jewelry in order to earn money. She would like tomake at least $100, but she figures out that she has a maximum of 25 hours to work of the jewelry. For eachbracelet (x) she sells, it takes 1 hour to create, and she makes a profit of $6. For each necklace (y) she sells, ittakes 3 hours to create, and she makes a profit of $11.Choose the correct system of inequalities to represent the possible pieces of jewelry she would need to sell.The possible number of jewelry she needs to sell can be calculated using the inequalitiesSelect oneandSelect one1 (Ctrl)

Answer 1

Tonisha has two types of jewerlly she can work on, but only has 25 hours of time available for them. It takes her a total of one hour for each bracelet (x) and three hours for each necklace (y). She has to manage her time working on both in such a way that the total work time doesn't surpass 25, thefore we can represent this situation with the following expression

`x+3y\leq25`

The total time working on bracelets (1*x) plus the total time working on necklaces (3*y) is less or equal to her total available time (25).

She wants to make at least $100 profit from these jewellry, for each bracelet she profits $6 and for each necklace she profits $11, so the expression that models this situation is:

`6x+11y\ge100`

The total profit from bracelets plus the total profit from necklaces must be greater than 100.