Question

question: dianelys 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 number of years worked, and the dependent variable is the salary, because the salary depends on the number of years worked. a function relating these variables is b(x)=. so b(2)=, meaning 2

Explanation:

Step1: Identify the initial - salary and raise

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, the number of years worked is $x$, the function representing the salary $B(x)$ is of the form $B(x)=mx + b$. The slope $m$ is the raise per year and the y - intercept $b$ is the initial salary.

Step2: Write the function

The function $B(x)=2000x + 60000$.
When $x = 2$, we substitute $x = 2$ into the function:
$B(2)=2000\times2+60000$.
First, calculate $2000\times2 = 4000$.
Then, $B(2)=4000 + 60000=64000$.

Answer:

$B(x)=2000x + 60000$; $B(2)=64000$