The table gives the increase or decrease in the number of donors to a college athletics support organization for selected years. Rate of Change of Donors to a College Athletics Support Organization Year 1985 1988 1991 1994 1997 2000 Rate of change (donors per year) -176 785 1213 1079 408 -836 (a) Find the function of the quadratic model that gives the rate of change in number of donors, where t is the number of years since 1985, with data from 0 sts 15. (Round all numerical values to three decimal places.) f'(t) = donors per year (b) Find the function of the model that gives the number of donors, where t is the number of years since 1985. Use the fact that in 1990, there were 10,706 donors. (Round all numerical values to three decimal places.) f(t) = donors (c) Estimate the number of donors in 2004. (Round your answer to the nearest integer.) donors
The table gives the increase or decrease in the number of donors to a college athletics support organization for selected years. Rate of Change of Donors to a College Athletics Support Organization Year 1985 1988 1991 1994 1997 2000 Rate of change (donors per year) -176 785 1213 1079 408 -836 (a) Find the function of the quadratic model that gives the rate of change in number of donors, where t is the number of years since 1985, with data from 0 sts 15. (Round all numerical values to three decimal places.) f'(t) = donors per year (b) Find the function of the model that gives the number of donors, where t is the number of years since 1985. Use the fact that in 1990, there were 10,706 donors. (Round all numerical values to three decimal places.) f(t) = donors (c) Estimate the number of donors in 2004. (Round your answer to the nearest integer.) donors
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The table gives the increase or decrease in the number of donors to a college athletics support organization for selected years.
Rate of Change of Donors to a College Athletics
Support Organization
Year
1985
=
1988
1991
1994
1997
2000
Rate of change
(donors per year)
-176
785
1213
1079
408
-836
(a) Find the function of the quadratic model that gives the rate of change in number of donors, where t is the number of years since 1985, with data from 0 ≤ t ≤ 15. (Round all numerical values to three decimal places.)
f'(t) =
donors per year
(b) Find the function of the model that gives the number of donors, where t is the number of years since 1985. Use the fact that in 1990, there were 10,706 donors. (Round all numerical values to three decimal places.)
f(t)
donors
(c) Estimate the number of donors in 2004. (Round your answer to the nearest integer.)
donors
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