Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

2. Kylie wants to earn $100 a month. She rakes leaves for $7 an hour and cleans windows for $6 an hour. Kylie cannot work more than 30 hours a week. Write the system of inequalities that represents this situation. Be sure to define your variables.

Sagot :

Let L be the amount of hours that Kylie works on raking leaves and W the amount of hours that she works on cleaning windows (on a week).

Since she cannot work more than 30 hours a week, and the total time spent working is L+W, then:

[tex]L+W<30[/tex]

Since one month has 4 weeks, she should win $25 a week to earn $100 in a month. Since she gets paid $7 per hour for raking leaves, after L hours she would have won a total amount of 7L, and since she gets paid $6 for cleaning windows, she would have won 6W after W hours. The total amount of money earned would be 7L+6W, which should be greater than 25:

[tex]25\le7L+6W[/tex]

Therefore, the system of inequalities that represents the situation, is:

[tex]\begin{gathered} L+W\le30 \\ 25\le7L+6W \end{gathered}[/tex]

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.