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,
![\begin{gathered} A=(R)/(100)* I \\ =(16)/(100)*44000 \\ =7040 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/24znocwrr7dpa976e7kfs114fxjx9r8x8n.png)
There are 365 days in an year and 7 days in a week.
The number of weeks per year is,
![N=(365)/(7)](https://img.qammunity.org/2023/formulas/mathematics/college/6dxdtetxx6a0nnmjv1m00mrpzer04576qo.png)
The extra amount added by the family for food is,
![\begin{gathered} A_w=xN \\ =35*(365)/(7) \\ =1825 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/dc1gw91n4i7lq8evqw6v1npdwucaxnvvox.png)
Hence, the family should add $1825 to their food budget.
So, none of these choices are correct.