Question

wyatt was offered a job after college earning a salary of $35,000. he 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. answer attempt 2 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) = \boxed{}. so z(8) = \boxed{}, meaning 8

Explanation:

Step1: Identify Variables

The independent variable \( x \) represents the number of years working (since it's the variable we can control or that changes independently), and the dependent variable is the salary (since salary depends on how many years are worked).

Step2: Define the Function

The initial salary is $35,000, and there's a raise of $2,000 per year. So the function relating salary \( Z(x) \) to years \( x \) is a linear function: \( Z(x) = 35000 + 2000x \).

Step3: Calculate \( Z(8) \)

Substitute \( x = 8 \) into the function: \( Z(8) = 35000 + 2000(8) = 35000 + 16000 = 51000 \). This means after 8 years of working, the salary is $51,000.

Answer:

• The independent variable \( x \) represents the number of years working, and the dependent variable is the salary, because the salary depends on the number of years working.
• A function relating these variables is \( Z(x) = 35000 + 2000x \).
• So \( Z(8) = 51000 \), meaning 8 years after working, the salary is $51,000.