We are told that Ernesto budgeted 4,700 for food. Since the food will rise 11%, it makes sense that Ernesto should also budget 11% more of what we budgeted before.
So, we will calculate the 11% of 4,700 and add it to the initial 4,700.
Recall that the 11% of 4,700 can be calculated as follows:
![4,700\cdot(11)/(100)=517](https://img.qammunity.org/2023/formulas/mathematics/college/hd0jvq5rw8csbya6tyszus2gk99sqeswyt.png)
So, we should add this amount to the initial budget. That is
![4,700+517=5,217](https://img.qammunity.org/2023/formulas/mathematics/college/ox03yvamydq3ysux59eq6p1y4tqzwvrnz1.png)
So Ernesto should budget $5,217 this year.