The situation best represented by the equation \( 40w + 12.50 = 492.50 \) is:
Nikayah paid $492.50 for ballet classes. She paid a $40 registration fee and $12.50 for each week she was enrolled in the classes. Solve for \( w \) to find the number of weeks Nikayah was enrolled in ballet classes.
This is the correct interpretation of the equation, where:
- \( 40w \) represents the total cost for \( w \) weeks of classes at $40 each.
- \( 12.50 \) represents an additional charge (seems to be a separate fee, likely the class fee).
- \( 492.50 \) is the total amount Nikayah paid.