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Provided below is a line graph containing the combined annual attendance of the Walt Disney World theme parks in Orlando (Magic Kingdom, Epcot, Animal Kingdom, and Hollywood Studios). Use the data provided below and your research skills to write a brief report for someone at Disney addressing the following questions.



a. (QS 2) Determine the average rate of change in attendance from 2011-2021 and use that to predict the annual attendance for 2022.

b. (QS 2) Consider any years that showed somewhat unusual growth rates and provide examples that might have contributed to the anomalous growth.

c. (QS 1) Develop a linear model for the expected attendance t years after 2011.

d. (QS 3) Use the model from c) to project the expected attendance for 2025 and 2030.

e. (QS 3) What are some important factors that could help/hinder future attendance? Explain how these might impact your projections above including whether your model should be more accurate for 2025 vs 2050.

Provided below is a line graph containing the combined annual attendance of the Walt Disney World theme parks in Orlando Magic Kingdom Epcot Animal Kingdom and class=

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MrRoyal

The average rate of change in attendance from 2011-2021 is 1.132 per year

Average rate of change in attendance from 2011-2021

From the graph, we have:

  • Population in 2011 = 47.45
  • Population in 2021 = 58.77

The average rate of change is then calculated as:

Rate = (58.77 - 47.45)/(2021 - 2011)

Evaluate

Rate = 1.132

2022 is 11 years from 2011.

So, the predicted annual attendance for 2022 is;

Attendance = 47.45 + 1.132 * 11

Attendance = 59.90

Year with unusual growth

The years with unusual growth are 2020 and 2021.

This is so because they have the same attendance.

The factor that might have contributed to the anomalous growth include

  • Government policies
  • Natural occurrence

The linear model for the attendance

In (a), we have:

Attendance = 47.45 + 1.132 * 11

Express as a function

y(t) = 47.45 + 1.132(t)

Expected attendance for 2025 and 2030

2025 is 14 years from 2011.

So, we have:

y(14) = 47.45 + 1.132(14)

y(14) = 63.298

2030 is 19 years from 2011.

So, we have:

y(19) = 47.45 + 1.132(19)

y(19) = 68.958

Factors that could help/hinder future attendance

The factors include:

  • Government policies
  • Natural occurrence
  • Ticket price
  • Basic amenities

Read more about linear functions at:

https://brainly.com/question/4025726

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