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A domestic airline has designed a new line of passenger aircraft. The company wants to fit the maximum number of people comfortably in each

   

A domestic airline has designed a new line of passenger aircraft. The company wants to fit the maximum number of people comfortably in each aircraft to maximize its revenue. It will install custom seating and choose the size of the pitch of each seat for the new aircraft models. The pitch of a seat is the distance between a point on the back of a seat and the same point located on the seat in front of it. (See the diagram below.) Seat pitch is an indicator of the leg room and reclining space available to each customer. pitch seat seat Part A The new aircraft model has a passenger section that is 100 feet long. Using appropriate variables, write an equation expressing the relationship between the number of rows of seats on the airplane and the seat pitch. Assume that the seat backs in the last row are flush against the wall. Part B The airline would like to use your equation from part a to develop a function. The function will determine the number of rows that can fit in the aircraft based on a chosen pitch size. Rearrange the equation from part a to create a function where the pitch size is the input and the number of rows is the output. Answer: Part D Describe the relationship between the number of rows on the aircraft and the size of the seat pitch. What type of variation does it show?

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