The nationwide attendance per day for a certain motion picture can be approximated using the equation A(t) = 15t² et, where A is the attendance per day in thousands of persons and t is the number of months since the release of the film. Find and interpret the rate of change of the daily attendance after 4 months. Round to the nearest thousandth. O A. 4.396 thousand persons/day • month; the daily attendance is increasing. O B. -2.198 thousand persons/day • month; the daily attendance is decreasing. O C. - 4.396 thousand persons/day month; the change in daily attendance is decreasing. O D. 2.198 thousand persons/day • month; the change in the daily attendance is increasing. (...)
The nationwide attendance per day for a certain motion picture can be approximated using the equation A(t) = 15t² et, where A is the attendance per day in thousands of persons and t is the number of months since the release of the film. Find and interpret the rate of change of the daily attendance after 4 months. Round to the nearest thousandth. O A. 4.396 thousand persons/day • month; the daily attendance is increasing. O B. -2.198 thousand persons/day • month; the daily attendance is decreasing. O C. - 4.396 thousand persons/day month; the change in daily attendance is decreasing. O D. 2.198 thousand persons/day • month; the change in the daily attendance is increasing. (...)
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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Question
The nationwide attendance per day for a certain motion picture can be approximated using the equation
A(t)equals=1515t squaredt2e Superscript negative te−t,
where A is the attendance per day in thousands of persons and t is the number of months since the release of the film. Find and interpret the rate of change of the daily attendance after 4 months. Round to the nearest thousandth.Question content area bottom
Part 1
4.3964.396
thousand
persons/daytimes•month;
the daily attendance is increasing.negative 2.198−2.198
thousand
persons/daytimes•month;
the daily attendance is decreasing.negative 4.396−4.396
thousand
persons/daytimes•month;
the change in daily attendance is decreasing.2.1982.198
thousand
persons/daytimes•month;
the change in the daily attendance is increasing.
Transcribed Image Text:The nationwide attendance per day for a certain motion picture can be approximated using the equation A(t) = 15t² et, where A is the attendance per day in thousands of persons and t is the number of months
since the release of the film. Find and interpret the rate of change of the daily attendance after 4 months. Round to the nearest thousandth.
O A. 4.396 thousand persons/day • month; the daily attendance is increasing.
O B. -2.198 thousand persons/day • month; the daily attendance is decreasing.
O C. - 4.396 thousand persons/day month; the change in daily attendance is decreasing.
O D. 2.198 thousand persons/day • month; the change in the daily attendance is increasing.
(...)
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