Math 111 mathematical equations 

In 2014 a Jack Russell Terrier from California named Twinkie set a world record for the fastest time to pop 100 balloons by a dog Your goal is to create a mathematical model for how quickly Twinkie pops balloons and then use it to make predictions. To help with that, this video syncs a counter and a timer with the dog’s progress.
You should begin with the following: 1. A table of data. Use the video to collect a sufficient number of data points. 2. A graphical representation of your data. Clearly label both axes. 3. A mathematical model that you think fits the data best. Include a brief explanation of why, from all the functions we’ve learned about, you chose that specific type of function. Give the equation for your model and describe what each variable represents. Then address each of these questions: 4. How many balloons does your model predict Twinkie can pop in 1 minute? 5 minutes? 10 minutes? 5. Using your model, how long would it take Twinkie to pop 500 balloons? 5000 balloons? 50000 balloons? 6. How confident are you in your model? Are the results reasonable? Explain. Please show your work on a separate piece of paper or file, using complete sentences when appropriate.

video - 
There was 100 balloons popped in
37.36 seconds according to my instructor 

  • This question has multiple parts, and requires spending time on a youtube video to understand what the problem is asking for. The bounty is too low for that much effort.

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