Week Box Office Gross ($ millions) 1 1.2 3 6.8 10.2 10.7 7 10.3 6.3 An executive for the movie production company wants to create a function that models this data. • Create a function that can be used to model the data shown in the table. Be sure to define the variables and provide justification for your choice of function. Discuss any possible domain restrictions which should be placed on your model. • Use your model to estimate the box office gross the company should expect in week 10.

Week Box Office Gross ($ millions) 1 1.2 3 6.8 10.2 10.7 7 10.3 6.3 An executive for the movie production company wants to create a function that models this data. • Create a function that can be used to model the data shown in the table. Be sure to define the variables and provide justification for your choice of function. Discuss any possible domain restrictions which should be placed on your model. • Use your model to estimate the box office gross the company should expect in week 10.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The amount of money that a movie makes in ticket sales is called its box office gross. The box office gross, in millions of dollars, of a particular movie each week is shown in the table. The amounts have been rounded to the nearest hundred thousand.

Week
Box Office Gross ($ millions)
1
1.2
6.8
5
10.2
10.7
7
10.3
9
6.3
An executive for the movie production company wants to create a function that models this data.
• Create a function that can be used to model the data shown in the table. Be sure to define the variables and provide
justification for your choice of function.
• Discuss any possible domain restrictions which should be placed on your model.
• Use your model to estimate the box office gross the company should expect in week 10.

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