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Let's break down the problem step-by-step.

### Problem Information
Isaac starts with a base salary of $50,000 and receives an annual raise of $5,000. The task is to analyze the relationship between the number of years Isaac has worked and his salary.

### Answers to Each Blank

1. **Independent variable $ x $:**
   - The independent variable $ x $ represents the number of years Isaac has been working at the company.

2. **Dependent variable:**
   - The dependent variable is Isaac's salary, because his salary depends on the number of years he has worked.

3. **Function $ D(x) $:**
   - Since Isaac starts with a salary of $50,000 and gets a raise of $5,000 every year, we can model his salary after $ x $ years with a function:
     \[
     D(x) = 50000 + 5000 \cdot x
     \]

4. **Value of $ D(5) $:**
   - To find $ D(5) $, substitute $ x = 5 $ into the function:
     \[
     D(5) = 50000 + 5000 \cdot 5 = 50000 + 25000 = 75000
     \]
   - So, $ D(5) = 75000 $, meaning **5 years of working results in a salary of $75,000**.

### Completed Solution:
- **Independent variable**: $ x $ represents the **number of years working at the company**.
- **Dependent variable**: **Salary**, because the salary depends on the years worked.
- **Function**: $ D(x) = 50000 + 5000x $.
- **So $ D(5) = 75000 $**, meaning **5 years of working results in a salary of $75,000**.

Would you like further clarification or details on any part of this solution?

### Related Questions
1. How would the function change if the starting salary were different?
2. What if the raise was a percentage of the previous salary rather than a fixed amount?
3. How much will Isaac's salary be after 10 years?
4. If Isaac's raise was reduced to $4,000 per year, how would the function $ D(x) $ change?
5. What is the minimum number of years Isaac must work to earn a six-figure salary?

### Tip
When defining relationships in math problems, always identify what changes with respect to another variable (independent vs. dependent) for clarity.

Isaac was offered a job after college earning a salary of $50,000. He will get a raise of $5,000 after each year working for the company. Answer the questions regarding the relationship between salary and the number of years working at the company.

Learn how to calculate Isaac's salary based on his years of service. This linear equation problem illustrates the relationship between the number of years working and salary, using D(x) = 50000 + 5000x. Ideal for high school students in Grades 9-10.

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