Julissa needs at least 100 hours of flight time to get her private pilot certifiion. If

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 certifiion. After completing $x$ hours of flight time, Julissa will have completed a total of $86+x$ hours of flight time. It's given that Julissa needs at least $100$ hours of flight time to get her private pilot certifiion. Therefore, $86+x\ge 100$. Subtracting $86$ from both sides of this inequality yields $x\ge 14$. Thus, $14$ is the minimum number of additional hours of flight time Julissa needs to get her private pilot certifiion.

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.