In the following graph, n(t) is a certain store's approximate net income, in millions of dollars, for the year ending at time t (t is time in years since December 2004). On the coordinate plane the horizontal axis is labeled t and the vertical axis is labeled n(t). The curve enters the window at approximately 249 units above the origin, goes up and right becoming less steep, passes through approximately 2 units right of and approximately 603 units above the origin, changes direction at approximately 2.79 units right of and approximately 627 units above the origin, goes down and right becoming more steep, passes through approximately 4 units right of and approximately 589 units above the origin, passes through approximately 4.5 units right of and approximately 559 units above the origin, passes through approximately 4.75 units right of and approximately 543 units above the origin, goes down and right becoming less steep, changes direction at approximately 6.7 units right of and approximately 460 units above the origin, goes up and right becoming more steep, and exits the window at approximately 9 units right of and approximately 700 units above the origin. (a) Estimate n(2), n(4), and n(4.5) to the nearest 50. n(2) = Interpret your answer. In the year , the store's net income was $ million. n(4) = Interpret your answer. In the year , the store's net income was $ million. n(4.5) = Interpret your answer. In the year ending , the store's net income was $ million. (b) At approximately which value of t in the interval [3, 8] is n(t) increasing most rapidly? t = Interpret your answer. Between December 2007 and December 2012, the store's net income was increasing most rapidly in . (c) At approximately which value of t in the interval [3, 8] is n(t) decreasing most rapidly? t = Interpret your answer. Between December 2007 and December 2012, the store's net income was decreasing most rapidly in .

In the following graph, n(t) is a certain store's approximate net income, in millions of dollars, for the year ending at time t (t is time in years since December 2004). On the coordinate plane the horizontal axis is labeled t and the vertical axis is labeled n(t). The curve enters the window at approximately 249 units above the origin, goes up and right becoming less steep, passes through approximately 2 units right of and approximately 603 units above the origin, changes direction at approximately 2.79 units right of and approximately 627 units above the origin, goes down and right becoming more steep, passes through approximately 4 units right of and approximately 589 units above the origin, passes through approximately 4.5 units right of and approximately 559 units above the origin, passes through approximately 4.75 units right of and approximately 543 units above the origin, goes down and right becoming less steep, changes direction at approximately 6.7 units right of and approximately 460 units above the origin, goes up and right becoming more steep, and exits the window at approximately 9 units right of and approximately 700 units above the origin. (a) Estimate n(2), n(4), and n(4.5) to the nearest 50. n(2) = Interpret your answer. In the year , the store's net income was $ million. n(4) = Interpret your answer. In the year , the store's net income was $ million. n(4.5) = Interpret your answer. In the year ending , the store's net income was $ million. (b) At approximately which value of t in the interval [3, 8] is n(t) increasing most rapidly? t = Interpret your answer. Between December 2007 and December 2012, the store's net income was increasing most rapidly in . (c) At approximately which value of t in the interval [3, 8] is n(t) decreasing most rapidly? t = Interpret your answer. Between December 2007 and December 2012, the store's net income was decreasing most rapidly in .

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

In the following graph, n(t) is a certain store's approximate net income, in millions of dollars, for the year ending at time t (t is time in years since December 2004).

On the coordinate plane the horizontal axis is labeled t and the vertical axis is labeled n(t). The curve enters the window at approximately 249 units above the origin, goes up and right becoming less steep, passes through approximately 2 units right of and approximately 603 units above the origin, changes direction at approximately 2.79 units right of and approximately 627 units above the origin, goes down and right becoming more steep, passes through approximately 4 units right of and approximately 589 units above the origin, passes through approximately 4.5 units right of and approximately 559 units above the origin, passes through approximately 4.75 units right of and approximately 543 units above the origin, goes down and right becoming less steep, changes direction at approximately 6.7 units right of and approximately 460 units above the origin, goes up and right becoming more steep, and exits the window at approximately 9 units right of and approximately 700 units above the origin.

(a)

Estimate n(2), n(4), and n(4.5) to the nearest 50.

n(2) =

Interpret your answer.

In the year , the store's net income was $ million.

n(4) =

Interpret your answer.

In the year , the store's net income was $ million.

n(4.5) =

Interpret your answer.

In the year ending , the store's net income was $ million.

(b)