Is high school grade inflation part of the reason why college admissions seems more competitive?

Typical at our local high school (a public school in a high achieving area, where the majority of parents are highly educated, and students expect to go on to college. Many students will go on to "top"colleges.

Teacher hands out class syllabus the first day of school, one copy of which which must be signed by a parent and returned.
Item one on the class syllabus rules is “I do not give extra credit.”
Teacher reviews class syllabus with students the first day of school and with parents at parent night.
The day the first test results are recieved, immediately after class 10 students approach the teacher and say, “What can I do for extra credit?”
“I dont’t give extra credit in this class.”
“That’s not faaaiiiiirrrr!”
Later that evening the tracher receives several phone calls and emails from parents about their child’s grade, requesting a way for the child to earn extra credit.