part c (*1. Regal Theatre puts on community theatreþroductions each season. After several years ofgathering data, they noted some trends betweenthe length of the plays they produced and thenumber of tickets they sold for Friday eveningshows. They created the model shown below.260240220200180number of tickets sold toplay length(hours)Friday evening shows(according to the model)g(x)16014011191201.51391001.751452149802.25150602.51494031393.5119204890.511.522.5 33.544.55play length (in hours)a. What does the ordered pair (3, 139)represent in the context of this situation?b. Determine the function's average rate of change over each of the following intervals. Make sureto describe how to interpret the meaning of the average rate of change in each case.i. Isxs2.25ii. 2.5 sxS 4c. Does the function have positive concavity or negative concavity (or a combination of the two)?What does this tell you about the situation?number of tickets sold (Friday evening show)

Given that a Regal theatre puts on a community theatre productions each season , where x represents…

Answered: *1. Regal Theatre puts on community…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.3: Modeling Data With Linear Functions

Problem 20E: Focal Length A refracting telescope has a main lens, or objective lens, and a second lens, the...

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World Crude Oil Production In 1956, M.King Hubbert proposed a model to analyse crude oil production. His model, with updated data, gives world crude oil production as P=254.43e0.042t(1+2.12e0.042t)2 Here P is measured in billions of barrels per year, and t is time, in year, since 2000. a.Make a graph of world crude oil production for 2000 through 2040. b.When does this model predict a peak in world crude oil production? c.What is the maximum crude oil production predicted by this model?
Focal Length A refracting telescope has a main lens, or objective lens, and a second lens, the eyepiece see Figure 3.42. For a given magnification M of the telescope, the focal length F of the objective lens is a linear function of the focal length Fe of the eyepiece. For example, a telescope with magnification M=80 times can be constructed using various combinations of lenses. The following table gives some samples of focal length for telescopes with magnification M=80. Here focal lengths are in centimeters. Fe 0.3 0.5 0.7 0.9 F 24 40 56 72 a. Construct a linear model for the data. b. In this example, the magnification M is 80. In general, F is proportional to Fe, and the constant of proportionality is M. Use this relation to write a formula for F in terms of Fe and M. c. Solve the equation you obtained in part b for M and thus obtain a formula for magnification as a function of objective lens focal length and eyepiece focal length. d. To achieve a large magnification, how should the objective and eyepiece lenses be selected? FIGURE 3.42

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