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Algebra / Linear inequalities in one or two variables Difficulty: Easy

Julissa needs at least $100$ hours of flight time to get her private pilot certification. If Julissa already has $86$ hours of flight time, what is the minimum number of additional hours of flight time Julissa needs to get her private pilot certification?

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Explanation

Choice A is correct. It's given that Julissa already has $86$ hours of flight time. Let $x$ represent the number of additional hours of flight time Julissa needs to get her private pilot certification. After completing $x$ hours of flight time, Julissa will have completed a total of $86 plus x$ hours of flight time. It's given that Julissa needs at least $100$ hours of flight time to get her private pilot certification. Therefore, $86 + x \geq 100$ . Subtracting $86$ from both sides of this inequality yields $x greater than or equals 14$ . Thus, $14$ is the minimum number of additional hours of flight time Julissa needs to get her private pilot certification.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect. This is the number of hours of flight time Julissa already has, rather than the minimum number of additional hours of flight time Julissa needs.

Choice D is incorrect. This is the number of hours of flight time Julissa will have if she completes $100$ more hours of flight time, rather than the minimum number of additional hours of flight time Julissa needs.