55,000 Suppose that the demand function for a product is given by D(p) = and that the price p is a function of time given by p= 1.6t+8, where t is in days. Р a) Find the demand as a function of time t. b) Find the rate of change of the quantity demanded when t = 80 days. a) D(t) = (Simplify your answer.) b) What is the approximate rate of change of the quantity demanded when t = 80 days? units day (Simplify your answer. Round to three decimal places as needed.)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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55,000
Suppose that the demand function for a product is given by D(p) =
and that the price p is a function of time given by p= 1.6t+8, where t is in days.
Р
a) Find the demand as a function of time t.
b) Find the rate of change of the quantity demanded when t = 80 days.
a) D(t) =
(Simplify your answer.)
b) What is the approximate rate of change of the quantity demanded when t = 80 days?
units
day
(Simplify your answer. Round to three decimal places as needed.)
Transcribed Image Text:55,000 Suppose that the demand function for a product is given by D(p) = and that the price p is a function of time given by p= 1.6t+8, where t is in days. Р a) Find the demand as a function of time t. b) Find the rate of change of the quantity demanded when t = 80 days. a) D(t) = (Simplify your answer.) b) What is the approximate rate of change of the quantity demanded when t = 80 days? units day (Simplify your answer. Round to three decimal places as needed.)
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