Problem Statement
I have to say this was not one of my favorite problems but I really enjoyed doing it. The reason for this is I am able to relate to the problem better since I obviously have gone shopping before and have had to make the decision of which line is faster. The problem was set up as a couple paying lanes with lines of shopping carts with different amounts of items inside. Our goal was to try and find out which lane is fastest regardless of the amount of items the carts had.
After staring at the problem for about five minutes Kirby asked us a question. " what information do you need to see which lane is fastest?" We all started screaming a bunch of different variables in which you need to solve this problem and kirby finally got enough and showed us what you really need to solve this problem.
This is the information you need in order to solve this problem. What you are looking at up here is basically the average times and amount spent at a store when checking out. This helped us a lot because off this we were able to find a formula and plug it in to which ever lane. The main ones we needed were the Ring time, Tender Time, and other time.
Process
Since the beginning I already knew I was wrong. That did not stop me though... I began by taking the Ring, Tender , and other time to make a formula and try to plug in the number of items into the formula. It was honestly working really good I just had no idea what it was leading to and what my final result would be. No one in my table knew what to do so I felt I had more of a bigger role since we were probably going to share my theory. So I just started trying to do some math and I quickly explained to my group so they can maybe try to expand my thinking or just help me out with a different more accurate theory!
Others Process
Well my table never really had anything so we were all basically going off what I said but we eventually got the rest of the class to explain and that's when things started making sense. People started converting the final numbers they got into units and that where I was struggling on doing. they basically used the same formats I was trying to go for but they got to fancy and started cross multiplying and other tedious things but I just sat there and tried to soak in all the new information.
Solution
The solution was simple, You had to add up all the times for each cart and each lane and eventually eliminate the other carts for time consumption. At first it took us a while to even think there was a solution to this but we stuck through with it and eventually created two formulas. The final answer was that line B was faster with 19 Items for 1.69 minutes . But it was proven you can solve math a lot of different ways.
Self Assessment
For this problem I feel like I did pretty well for getting my voice heard. I think I really took the leadership role for this problem because I actually had to teach my table what I was trying to get across to them. I will not lie though, there was a day where I was just super out of it and Kirby called me out on it after class. I wasn't having the best week and I honestly was having trouble staying on topic, After that I was just on top of it though. I apologized to him for that day and i started staying more focused in his class. I think I did well in my part for this problem because my thinking expanded others from my table and helped boost up our table knowledge confidence.