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Erica paid a self employment tax last year. she calculated the self-employment tax for different amounts of net earnings and recorded them in a table shown . Which function describes the relationship between X ,amount of net earrings and y ,the self- employment.

Respuesta :

Answer:

[tex]y=\frac{153}{1,000}x[/tex]

Step by step explanation:

Linear functions represent situations that have a constant rate of change, and they are represented by:

[tex]\begin{gathered} y=kx \\ \text{where,} \\ k\text{ is the constant rate of change} \end{gathered}[/tex]

We can calculate the constant rate of change with the following formula:

[tex]\begin{gathered} k=\frac{\Delta y}{\Delta x} \\ k=\frac{2,295}{15,000} \\ k=\frac{153}{1,000} \end{gathered}[/tex]

Then, the function that describes the relationship between x, the number of net earnings, and y, the self-employment tax would be:

[tex]y=\frac{153}{1,000}x[/tex]

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