a.
To find: The system of equations in which one equation represents the total amount of final mixture required and the other represents the amounts of
a.
Answer to Problem 50E
The required system of equations is:
Explanation of Solution
Given information:
Five hundred gallons of
Calculation:
Let
So the equation that represents the total amount of final mixture is
And the equation that represents the amounts of
b.
To graph: The graph represents the two equations in the same viewing window. Also, how does the amount of
b.
Explanation of Solution
Given information:
The system of equations we found in previous part is:
Graph:
Using Desmos graphing utility,
Interpretation:
As the amount of
c.
To find: The amount of each type of gasoline is required to obtain the
c.
Answer to Problem 50E
300 gallons of 87-octane gasoline and 200 gallons of 92-octane gasoline are required to obtain 500 gallons of 89-octane gasoline.
Explanation of Solution
Given information:
The system of equations we found in previous part is:
Graph:
Using Desmos graphing utility,
Interpretation:
The solution of the system of equations is
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
- 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