Example

Example: Solving a Vacation Rental Application with a Linear Inequality

To calculate the maximum distance that can be traveled with a rental under a budget, translate the scenario into an inequality. For instance, if a rental car costs $75 a week plus $0.25 per mile, and the total budget is $200, let mm represent the number of miles. The inequality is 75+0.25m20075 + 0.25m \leq 200. Subtracting 7575 from both sides results in 0.25m1250.25m \leq 125. Dividing by 0.250.25 gives m500m \leq 500. Therefore, a maximum of 500 miles can be traveled while remaining within the budget.

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Updated 2026-04-22

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Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax

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