Systems of linear equations and matrices: Conclusion of Systems of linear equations and matrices
Applications of systems of linear equations
The fuel consumption of a car depends on the road on which the car drives. On the highway a car drives faster, consuming more fuel. In a busy city, a car will halt often, which also leads to the use of more fuel.
In order to determine the impact on the environment, a researcher wants to establish how much fuel is consumed on different types of roads. For this, she asks three people to go to work (with the same type of car) and to measure how much fuel the car uses in the act.
Ms. Warren used #6.08# gallons of fuel to get to her job, Mr. Van Horn #4.15# gallons of fuel, and Mr. Rivera #3.54# gallons of fuel.
How many gallons of fuel are needed per mile on the different types of road?
In order to determine the impact on the environment, a researcher wants to establish how much fuel is consumed on different types of roads. For this, she asks three people to go to work (with the same type of car) and to measure how much fuel the car uses in the act.
- Mr Rivera first drives #12# miles through the countryside and next #15# miles on the highway.
- Mr. Van Horn first drives #7# miles across the countryside, next #9# miles on the highway, and finally #17# miles through the city.
- Ms Warren drives #8# miles through the city, next #14# miles on the highway, #8# miles across the countryside, and finally #17# miles through the city again.
Ms. Warren used #6.08# gallons of fuel to get to her job, Mr. Van Horn #4.15# gallons of fuel, and Mr. Rivera #3.54# gallons of fuel.
How many gallons of fuel are needed per mile on the different types of road?
In rural areas: | gallons per mile |
On the highway: | gallons per mile |
In the city: | gallons per mile |
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