18. CCT 11 The quantity (in pounds) of a gourmet ground coffee that is sold by a coffee company at a price of p dollars per pound is Q = f(p ). (a) What is the meaning of the derivative f '(7)? O The price of the coffee as a function of the supply. O The rate of change of the quantity of coffee sold with respect to the price per pound when the price is $7 per pound. OThe rate of change of the price per pound with respect to the quantity of coffee sold. O The rate of change of the price per pound with respect to the quantity of coffee sold when the price is $7 per pound. O The supply of coffee needed to be sold to charge $7 per pound. What are the units of f '(7)? O dollars/(pound/pound) O dollars/pound O pounds/(dollars/pound) pounds O pounds/dollar O dollars (b) In general, will f '(7) be positive or negative? positive negative Talk to a Tutor Watch It Need Help? Read It

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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18.
CCT
11
The quantity (in pounds) of a gourmet ground coffee that is sold by a coffee company at a price of p dollars per pound is Q = f(p ).
(a) What is the meaning of the derivative f '(7)?
O The price of the coffee as a function of the supply.
O The rate of change of the quantity of coffee sold with respect to the price per pound when the price is $7 per pound.
OThe rate of change of the price per pound with respect to the quantity of coffee sold.
O The rate of change of the price per pound with respect to the quantity of coffee sold when the price is $7 per pound.
O The supply of coffee needed to be sold to charge $7 per pound.
What are the units of f '(7)?
O dollars/(pound/pound)
O dollars/pound
O pounds/(dollars/pound)
pounds
O pounds/dollar
O dollars
(b) In general, will f '(7) be positive or negative?
positive
negative
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Need Help?
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Transcribed Image Text:18. CCT 11 The quantity (in pounds) of a gourmet ground coffee that is sold by a coffee company at a price of p dollars per pound is Q = f(p ). (a) What is the meaning of the derivative f '(7)? O The price of the coffee as a function of the supply. O The rate of change of the quantity of coffee sold with respect to the price per pound when the price is $7 per pound. OThe rate of change of the price per pound with respect to the quantity of coffee sold. O The rate of change of the price per pound with respect to the quantity of coffee sold when the price is $7 per pound. O The supply of coffee needed to be sold to charge $7 per pound. What are the units of f '(7)? O dollars/(pound/pound) O dollars/pound O pounds/(dollars/pound) pounds O pounds/dollar O dollars (b) In general, will f '(7) be positive or negative? positive negative Talk to a Tutor Watch It Need Help? Read It
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