Question

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.

Answer 1

`y=(153)/(1,000)x`

Step by step explanation:

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

`\begin{gathered} y=kx \\ \text{where,} \\ k\text{ is the constant rate of change} \end{gathered}`

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

`\begin{gathered} k=(\Delta y)/(\Delta x) \\ k=(2,295)/(15,000) \\ k=(153)/(1,000) \end{gathered}`

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

`y=(153)/(1,000)x`