Concept explainers
To find: The level of consumption that becomes satiated.
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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)
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