Question

nicole was offered a job after college earning a salary of $45,000. she will get a raise of $5,000 after each year working for the company. answer the questions below regarding the relationship between salary and the number of years working at the company. answer attempt 1 out of 2 the independent variable, x, represents the , and the dependent variable is the , because the depends on the . a function relating these variables is $z(x)=$. so $z(4)=$, meaning 4

Explanation:

Step1: Identify variables

The independent variable $x$ is the number of years working. The dependent variable is the salary, as salary depends on years worked.

Step2: Form function

The initial salary is $45000$ and the raise per - year is $5000$, so $Z(x)=45000 + 5000x$.

Step3: Calculate $Z(4)$

Substitute $x = 4$ into $Z(x)$: $Z(4)=45000+5000\times4=45000 + 20000=65000$. It means 4 years of working gives a salary of $65000$.

Answer:

The independent variable, $x$, represents the number of years working at the company, and the dependent variable is the salary, because the salary depends on the number of years working at the company. A function relating these variables is $Z(x)=45000 + 5000x$. So $Z(4)=65000$, meaning 4 years of working at the company results in a salary of $65000$.