The average price paid by the synfuel industry for a short ton of coal between 2002 and 2005 can be modeled as P(t)1.4t 6.1t33.5 dollars where t is the number of years since the beginning of 2000 (a) Use the limit definition of the derivative to develop a formula for the rate of change of the price of coal used by the synthetic fuel industry. P'(t) dollars per year = (b) How quickly was the price of coal used by the synthetic fuel industry growing in the middle of 2005? dollars per year

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 1SE: Can the average rate of change of a function be constant?
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The average price paid by the synfuel industry for a short ton of coal between 2002 and 2005 can be modeled as
P(t)1.4t 6.1t33.5 dollars
where t is the number of years since the beginning of 2000
(a) Use the limit definition of the derivative to develop a formula for the rate of change of the price of coal used by the synthetic fuel industry.
P'(t)
dollars per year
=
(b) How quickly was the price of coal used by the synthetic fuel industry growing in the middle of 2005?
dollars per year
Transcribed Image Text:The average price paid by the synfuel industry for a short ton of coal between 2002 and 2005 can be modeled as P(t)1.4t 6.1t33.5 dollars where t is the number of years since the beginning of 2000 (a) Use the limit definition of the derivative to develop a formula for the rate of change of the price of coal used by the synthetic fuel industry. P'(t) dollars per year = (b) How quickly was the price of coal used by the synthetic fuel industry growing in the middle of 2005? dollars per year
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