68. Retirement Savings Ella is saving for her retirement by making regular deposits into a 401(k) plan. As her salary rises, she finds that she can deposit increasing amounts each year. Between 1995 and 2008 the annual amount (in dollars) that she deposited was given by the function D(t) = 3500 + 15r, where t represents the year of the deposit measured from the start of the plan (so 1995 corre- sponds to t 0, 1996 corresponds to t = 1, and so on). (a) Find D(0) and D(15). What do these values represent? (b) Assuming that her deposits continue to be modeled by the function D, in what year will she deposit $17,000? (c) Find the average rate of change of D between t= 0 and 1 = 15. What does this number represent?

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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68. Retirement Savings Ella is saving for her retirement by
making regular deposits into a 401(k) plan. As her salary
rises, she finds that she can deposit increasing amounts
each year. Between 1995 and 2008 the annual amount (in
dollars) that she deposited was given by the function
D(t) = 3500 + 15r, where t represents the year of the
deposit measured from the start of the plan (so 1995 corre-
sponds to t 0, 1996 corresponds to t = 1, and so on).
(a) Find D(0) and D(15). What do these values represent?
(b) Assuming that her deposits continue to be modeled by
the function D, in what year will she deposit $17,000?
(c) Find the average rate of change of D between t= 0 and
1 = 15. What does this number represent?
Transcribed Image Text:68. Retirement Savings Ella is saving for her retirement by making regular deposits into a 401(k) plan. As her salary rises, she finds that she can deposit increasing amounts each year. Between 1995 and 2008 the annual amount (in dollars) that she deposited was given by the function D(t) = 3500 + 15r, where t represents the year of the deposit measured from the start of the plan (so 1995 corre- sponds to t 0, 1996 corresponds to t = 1, and so on). (a) Find D(0) and D(15). What do these values represent? (b) Assuming that her deposits continue to be modeled by the function D, in what year will she deposit $17,000? (c) Find the average rate of change of D between t= 0 and 1 = 15. What does this number represent?
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