Question

question: danelys was offered a job after college earning a salary of $60,000. she will get a raise of $2,000 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. the independent variable, x, represents the , and the dependent variable is the , because the depends on the . a function relating these variables is b(x)= . so b(2)= , meaning 2

Explanation:

Step1: Identify the linear - function form

The initial salary is $60000$ and the raise per year is $2000$. The general form of a linear function is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. Here, $b = 60000$ (initial value) and $m = 2000$ (rate of change). So the function $B(x)$ that relates the salary $y$ (dependent variable) to the number of years $x$ (independent variable) is $B(x)=2000x + 60000$.

Step2: Calculate $B(2)$

Substitute $x = 2$ into the function $B(x)=2000x + 60000$. We get $B(2)=2000\times2+60000$. First, calculate $2000\times2 = 4000$. Then, $4000+60000=64000$.

Answer:

The independent variable $x$ represents the number of years working at the company. The dependent variable is the salary because the salary depends on the number of years working at the company. The function $B(x)=2000x + 60000$ and $B(2)=64000$.