Answer:
![y = 3600 * 12](https://img.qammunity.org/2021/formulas/mathematics/college/fgykizhxqa53j43tcuxjfdbdez4osx7wrh.png)
Explanation:
Given: Breakdown of Monthly Budget
Required
Determine the equation that shows minimum earnings in a year
First, we need to get the sum of the given list of budgets:
![Budget = 870 + 550 + 375 + 480 + 400+235+400 + 290](https://img.qammunity.org/2021/formulas/mathematics/college/mpw1n4ud282uhp1i88qf6u2945kbft3y73.png)
![Budget = 3600](https://img.qammunity.org/2021/formulas/mathematics/college/7ouhot3nr9t8ml7ncavebi8x0wcmb2i5z2.png)
The are 12months in a a year; So, the yearly budget (y) is:
![Yearly\ Budget = Monthly\ Budget * Duration](https://img.qammunity.org/2021/formulas/mathematics/college/65h1xp6xc4yjzu359g16bl08k8ozhtqxn9.png)
![Yearly\ Budget = 3600* 12](https://img.qammunity.org/2021/formulas/mathematics/college/5v1l6ups4ss6lyvio5sig473iy5hvv170t.png)
i.e.
![y = 3600 * 12](https://img.qammunity.org/2021/formulas/mathematics/college/fgykizhxqa53j43tcuxjfdbdez4osx7wrh.png)