. An academic scholarship awarded by a university is modeled by the function below, where x denotes the final

average grade obtained by the student.

$1000 if 80 SX S90

f(x)

($2000 if 90 < x < 100

The university plans to raise the scholarship by $500, and provide an additional 20% for the students with a

final grade of more than 95. Identify the function for the new scholarship plan.