2) [DOK 3] The function I(t) seen below represents a current monthly income supportwelfare program in a country.(750 when t = 0l15t whent> 01(х)10008006004002001050Number of Hours Worked20304060What type of discontinuity does I(t) have? How might this type of discontinuity affect aperson's choices if they qualify for income support? LIM-2.A, LIM-2.A.1, LIM-2.A.2, LIM-2.C,LIM-2.C.1Gross Income

Here, the given function for a monthly income support welfare program of a country is: I(t)=750,…

Answered: 2) [DOK 3] The function I(t) seen below…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Similar questions

1. A movie theater seats 240 people. For any particular show, the amount of money the theater makes is a function of the number of people, n, in attendance. Analysis of recent price and attendance data suggests that for a weekday matince showing, if the price of a ticket is set at p dollars, then the number of people in attendance, n, is given by n = 240-12p. (a) At what price will no one attend the showing? (b) How many people will attend if prices are set at the regular price of $12? What income will the theater earn at this price? (c) Write an equation that describes the income, I, that the theater will earn in terms of the ticket price, p. (d) At what price should tickets be sold to earn the greatest ticket income from the matinee show? What income will the theater earn at this price?
9. The table below shows the average yearly cost of gasoline over the last 6 years where t =0 represents the year 2010. Year (t) 2010 2011| 2012 2013 2014 2015 $3.49 $3.25 $3.18 $3.05 $2.98 $2.85 Avg Price C(t) A) Find a function C (t), wheret is time in years since 2010, and C (t) is cost in dollars per gallon, that best represents this table. Round to the nearest hundredth. B) What is the domain for the function C(t)? C) Using this model, what do you predict the price of gasoline will be in 2035?
1. A liquid starts at an initial temperature of 175 C and cools down in a room held at a constant temperature of 16 C. It's temperature can be modeled, as a function of time cooling, by the equation y=a(b) +c. which of the following statements is true? (1) a=159 andc=16 (3) a=175 andc=16 (2) a=16 andc=159 (4) a=16 and c=175 14
1. A movie theater seats 240 people. For any particular show, the amount of money the theater makes is a function of the number of people, n, in attendance. Analysis of recent price and attendance data suggests that for a weekday matinee showing, if the price of a ticket is set at p dollars, then the number of people in attendance is given by n = 240 – 12p. (a) At what price will no one attend the showing? (b) How many people will attend if prices are set at the regular price of $12? What income will the theater earn at this price? (c) Write an equation that describes the income, I, that the theater will earn in terms of the ticket price, р. (d) At what price should tickets be sold to earn the greatest ticket income from the matinee show? What income will the theater earn at this price?
c) A university projects that enrollments are going to decline as the pool of college-aged applicants begins to shrink. They have estimated the number of applications for coming years to behave according to the functiona = f(t) = 6,500 – 250twhere a equals the number of applications for admission to the university and t equals time in years measured from this current year (t = 0).i. What class of function is this?ii. What is the expected number of applications 5 years from today? 10 years?iii. Do you think this function is accurate as a predictor indefinitely into the future? iv. What kinds of factor would influence the restricted domain on t?
1. Suppose the function C(r) represents the cost to produce rope as a function of the length of the rope. (a) What can you conclude about C from the statement "The cost of production is increasing at a decreasing rate"? Pick one of positive, negative, zero, or other. If other, please explain. i. C"(r) is ii. C"(r) is (b) What can you conclude about C from the statement "The cost of production is decreasing at an increasing rate"? Pick one of positive, negative, zero, or other. If other, please explain. i. C"(r) is ii. C"(r) is

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