A certain product has a time varying price p(t) and a time varying demand x(t). The price is in dollars and the demand is meeasured in the number of items. The price and demand functions are related by the following equation: 2a? – 14xp + 50p = 6600. Consider a moment in time when the price is increasing such that the rate of change of price is 2 dollars/month. At this same moment in time the price is 10 dollars. Find the rate of change of the demand at that moment in time, in items per month. dæ /dt = Equation Editor

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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A certain product has a time varying price p(t) and a
time varying demand x (t). The price is in dollars and
the demand is meeasured in the number of items. The
price and demand functions are related by the
following equation:
2a? – 14xp + 50p =
6600.
Consider a moment in time when the price is
increasing such that the rate of change of price is 2
dollars/month. At this same moment in time the price
is 10 dollars. Find the rate of change of the demand at
that moment in time, in items per month.
dæ/dt =
Equation Editor
Transcribed Image Text:A certain product has a time varying price p(t) and a time varying demand x (t). The price is in dollars and the demand is meeasured in the number of items. The price and demand functions are related by the following equation: 2a? – 14xp + 50p = 6600. Consider a moment in time when the price is increasing such that the rate of change of price is 2 dollars/month. At this same moment in time the price is 10 dollars. Find the rate of change of the demand at that moment in time, in items per month. dæ/dt = Equation Editor
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