Let's break down the information given. Antonina has already volunteered for 52 hours. She needs to tutor for 3 hours per week, and she wants to reach a total of at least 90 hours.
Let
w
w be the number of weeks Antonina needs to tutor.
The total hours from tutoring will be
3
w
3w, and adding the initial 52 hours, the inequality representing this situation is:
52
+
3
w
≥
90
52+3w≥90
So, the correct option is 52+3w≥90.