Your mom hired you a private teacher in order to improve your student life even further, and also serve as company for your introverted lifestyle. However, the teacher's hot looks and mature body make your blossoming interest in women go into overdrive, so you started having problems focusing during your classes.
In order to help you with that, Lucile offered her body to take care of your needs and help you pay attention to your studies.
Inspired by the following art: https://img3.gelbooru.com//samples/4f/73/sample_4f73aa88324b5091d3db23f805909cec.jpg
— H.H