2. The Price-Demand relationship for a certain commodity is given by x +6xp+2p² =2100. When the price is $10, we find that demand is 20. a) If t is time measured in months, find the relationship between the rates of change of price and quantity with respect to time, t. b) If the price is increasing at a rate of $1.25/month, find the rate of change in demand, to the nearest 0.1 c) If the demand is decreasing at a rate of 3/month, find the rate of change in price, to the nearest S0.01

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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2. The Price-Demand relationship for a certain commodity is given by x² +6xp+2p² =2100. When the
price is $10, we find that demand is 20.
a) If t is time measured in months, find the relationship between the rates of change of price and quantity
with respect to time, t.
b) If the price is increasing at a rate of $1.25/month, find the rate of change in demand, to the nearest 0.1
c) If the demand is decreasing at a rate of 3/month, find the rate of change in price, to the nearest $0.01
Transcribed Image Text:2. The Price-Demand relationship for a certain commodity is given by x² +6xp+2p² =2100. When the price is $10, we find that demand is 20. a) If t is time measured in months, find the relationship between the rates of change of price and quantity with respect to time, t. b) If the price is increasing at a rate of $1.25/month, find the rate of change in demand, to the nearest 0.1 c) If the demand is decreasing at a rate of 3/month, find the rate of change in price, to the nearest $0.01
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