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Let x be the number of days and y be the number of miles driven.

For the first rental car agency:
15x + 0.11y = Total cost
For the second rental car agency:
18x + 0.08y = Total cost
This forms a system of linear equations to express the problems related to the cost of renting the same car from two different agencies.

User Chidi Okeh
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Final answer:

The question is about forming a system of linear equations to compare costs of renting a car from two different agencies based on days and miles. It involves analyzing the slope and y-intercept of each equation to determine the total rental cost.

Step-by-step explanation:

The question involves forming a system of linear equations to compare the total cost of renting a car from two different agencies based on the number of days (x) and miles driven (y). For the first agency, the cost is represented by the equation 15x + 0.11y, and for the second agency by 18x + 0.08y. These equations allow for comparing costs and making a decision based on the total rental cost from each agency.

To analyze these equations, one typically looks at the slope and the y-intercept. The slope represents the rate of change in cost depending on the number of miles driven, and the y-intercept represents the flat daily rental rate. For example, in solution 12.4, the linear equation y = 25 + 15x represents the earnings of Svetlana from tutoring, where the slope is 15 and the y-intercept is 25.

User Pablo De Luca
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