calculus project and need the explanation and answer to help me learn.
Congratulations! You are an intern at Population Predictors Urban Development Agency! It’s your ﬁrst day. Watch the video above to ﬁnd out the basics of Urban Planning. Then it’s time to let your new boss know what you can handle. Answer the questions on the following slides to show her that she hired the right candidate.
At the beginning of the 1900s, only 2 in 10 people around the world lived in urban areas. By 2010, this had grown to 5 in 10, with the proportion growing each year. Urban developers and community leaders have to work together to make decisions about things like commercial developments, building new schools, or closing old ones.
According to the graph, when is the population increasing? When is it decreasing?The actual population of Salt Lake City in the year 2000 was 182,779. What did the function f(t) predict it would be? How far off is it?The actual population of Salt Lake City in the year 2021 was 200,478. Does this match with the function’s estimate?What is the predicted population of Salt Lake City in the year 2035?Do you think this is accurate? Why or why not?Since hosting the 2002 Winter Olympics, the population of Salt Lake City, Utah has been changing. Our data engineers have found that the population can be modeled by the function f(t) below where t=0 represents the year 2000. Use Desmos to graph f(t) to answer the following questions.
Hint: Use EquatIO and enter the functions in the appropriate location. Link to Desmos Graphs.
Do you have those population models yet? I need some predictions! Use your models you found on the last slide to give me the following predictions for the population.Done and ready to use! I’ll send this back to you ASAP.Great! Keep up the good work – I see big things in your future!202420262030Baltimore, MDBuffalo, NYPortland, ORHint: Show all work. Either attach handwritten calculations or include used graphs.
Logistic FunctionExponential FunctionWhat info does the logistic function take into account that is not well represented by the exponential regression models?Baltimore, MDBuffalo, NYPortland, ORThat’s a great question and good initiative! Go ahead and create exponential logistic functions for the cities using the data from before. Let me know what they tell you.I think that the polynomial model might not be telling us the full story. What might the exponential or logistic function show us?
CLICK ON ATTACHMENT
COMMUNITIES IN LEIFERVILLEPOPULATION INFOCURRENT DISTANCE TO NEAREST SHOPPING CENTER2014201620182020Kevin Canyon32,26132,51832,90233,3508 milesShiloh Fields34,87335,67636,47938,6210 milesAspen Acres33,5873410334,86735,14921 milesPaul Place22,42122,87424,39325,90412 milesCecilia Commons34,00733,91133,39333,1014 miles
Population Model Function: YOU CHOOSE THE MODELLink to Desmos regressionReason for chosen model2024 Population Estimate2030 Population EstimateKevin CanyonShiloh FieldsAspen AcresPaul PlaceCecilia Commons
Is the population increasing or decreasing? How do you know?Pros to putting in the shopping center or Cons to putting in the shopping centerKevin CanyonShiloh FieldsAspen AcresPaul PlaceCecilia Commons
Are you ready to submit?❏Did you show all work?❏Did you attach Desmos links as needed?❏Are all of your solutions clear and easy to find on the slide?❏Did you use the proper units throughout?❏Did you meet the standards on the rubric?
You have done a great job this week! I am so proud of you! Turn in your ﬁles and have an excellent weekend!