Please, use Desmos for the scatter plot to generate the models and graph the functions. Type all your answers (includes equations) with detail on desmos.com for this assignment.

You will need to submit the following items for the project.

1. Gather your Raw data from websites/sources.

2. Do the scatter plot and graph from desmos.com.

DIFFERENIATION, RATE OF CHANGE (Analyze a NFL franchise)

I. You have been assigned with a NFL sport franchise and want to analyze the revenue, and profit (operating income) of this business. Use your previous research data (10 years data 2009-2018) with the financial reports of your assigned franchise from Forbes website. Analyze the data with the use of Desmos.com. Note: Input your year with 0, 1, 2, 3,……9 and your revenue and profit with unit of millions. Avoid input large numbers in the table.

Tampa Bay B

Year

Year since 2009

Revenue in ($ million)

2009

0

160

2011

1

156

:

:

:

2018

9

211

1. Use Desmos.com to draw a scatter plot with years vs. revenue and generate a total revenue function (Polynomial function with degree 2 or higher) R(x).

2. Use the model that you have developed to estimate the total revenue for the year of 2018.

Differentiate the function R’(x) and find the exact rate of change for year 2018. Comment on your finding.

3. Use Desmos to draw a scatter plot with years vs. operating income and generate a total operating Income/Profit function (Polynomial degree 2 or higher) P(x).

4. Use the model that you have developed to estimate the total operating income/profit for the year of 2018. Differentiate your profit function and find the exact rate of change for year 2018. Comment on your findings.

5. Plot your revenue R(x) and profit function P(x) on desmos.com, set the graph setting for x-axis say -5<x<15 and y-axis -50<y<500 this will allow you to zoom in on the graph. find the equation of the tangent line for both R(x) and P(x) with the exact rate of change of year 2018/slope of tangent line.

https://www.forbes.com >>> NFL Team: Cincinnati Bengals

After you finish, please send me the link of Desmos!

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