Given:
The percentage of income budgeted for food, R=16%.
The income of the family, I=$44,000.
The extra amount for food needed per week, x=$35.
The amount budgeted by the family for food in an year is,

There are 365 days in an year and 7 days in a week.
The number of weeks per year is,

The extra amount added by the family for food is,

Hence, the family should add $1825 to their food budget.
So, none of these choices are correct.