Concept explainers
To find: The level of consumption that becomes satiated.
Answer to Problem 126CR
The level of consumption y = 0.24654. Since y = 0.24654 is horizontal asymptote of the graph.
Explanation of Solution
Given information:
A biology class performs an experiment comparing the quantity of food consumed by a certain kind of moth with the quantity supplied. The model for the experimental data is given by
Formula used:
A horizontal asymptote is ratio or the leading coefficients.
Calculation:
Where x represents the quantity of food supplied in milligrams, y represents the quantity eaten in milligrams.
The graph of the function is
If the degree or the numerator is equal to the degree of the denominator, then there is a horizontal asymptote at the line given by the ratio of the leading coefficients.
Here degree of numerator = degree or denominator = 1.
Therefore a horizontal asymptote is ratio or the leading coefficients.
That is horizontal asymptote is ratio of coefficients of x in numerator and denominator.
Hence the horizontal asymptotes is 0.24654
The moth will be satiated at the level of consumption y = 0.24654. Since y = 0.24654 is horizontal asymptote of the graph.
Conclusion:
The level of consumption y = 0.24654. Since y = 0.24654 is horizontal asymptote of the graph.
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning