A price p (in dollars) and demand x (in items) for a product are related by 2x² - 4xp + 75p² = 31,000. If the price is increasing at a rate of 2 dollars per month when the price is 20 dollars, find the rate of change of the demand with respect to time. (Round your answer to four decimal places.) The rate of change of demand with respect to time is 30.8 Submit Answer Xitems/month ✓✓.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.3: Linear Functions And Slope
Problem 105E
icon
Related questions
Question
Problem 15 Please help!
A price p (in dollars) and demand x (in items) for a product are related by 2x² - 4xp + 75p² = 31,000.
If the price is increasing at a rate of 2 dollars per month when the price is 20 dollars, find the rate of change of the demand with respect to time. (Round your answer to four
decimal places.)
The rate of change of demand with respect to time is 30.8
Submit Answer
Xitems/month ✓ ✓
Transcribed Image Text:A price p (in dollars) and demand x (in items) for a product are related by 2x² - 4xp + 75p² = 31,000. If the price is increasing at a rate of 2 dollars per month when the price is 20 dollars, find the rate of change of the demand with respect to time. (Round your answer to four decimal places.) The rate of change of demand with respect to time is 30.8 Submit Answer Xitems/month ✓ ✓
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning