Step 1
Given; Use this information to answer the questions.
You are helping plan your sister's wedding. You decide to help set up a night to prepare the decorations and gift bags, but worry it all won't get done and you will be stuck doing the rest by yourself. Use the information below to help you know how long it will take to get everything done.
Question 1: You plan to have 2 people work on each task. How would you pair them up to complete each task in the shortest amount of time? Explain using rational expressions.
Question 2: What is the shortest amount of time it would take to complete all the tasks?
Step 2
1) To do this we choose two people who will complete the task in the shortest time in each category based on the given table.
[tex]\begin{gathered} A)\text{ Time to fill 100 gifts bags} \\ -Aunt\text{ 1; 1.5 hours} \\ -Grandma\text{ 1 ; 2 hours} \end{gathered}[/tex][tex]\begin{gathered} B)\text{ Time to make 20 center pieces} \\ -mom;\text{ 3.5 hours} \\ -Aunt\text{ 2; 3.5 hours} \end{gathered}[/tex][tex]\begin{gathered} C)Time\text{ to blow up 1000 balloons for balloon archway} \\ -You;1.5\text{ hours} \\ -Grandma\text{ 2; 2.5 hours} \end{gathered}[/tex]
Step 3
2) The shortest time will be;
[tex]\begin{gathered} Aunt\text{ 1} \\ She\text{ take; 1.5+4+3=8.5hours} \\ Shortest\text{ time is by Aunt 1 and it is 8.5hours} \end{gathered}[/tex]
Answer;
1) The pairing will be;
2) The shortest time will be;
