Aaron just accepted a job at a new company where he will make an annual salary of $52000. Aaron was told that for each year he stays with the company, he will be given a salary raise of $3500. How much would Aaron make as a salary after 6 years working for the company? What would be his salary after tt years?

Let's break this down into two parts: finding Aaron's salary after 6 years, and then creating an expression for his salary after $ t $ years.

### Part 1: Salary after 6 years

Aaron's initial salary is $52,000, and each year he receives a $3,500 raise. After 6 years, his salary can be calculated using the formula:

\[
\text{Salary after 6 years} = 52000 + 3500 \times 6
\]

Now, let's do the calculations:

\[
\text{Salary after 6 years} = 52000 + 21000 = 73000
\]

So, Aaron's salary after 6 years would be **$73,000**.

### Part 2: General formula for salary after $ t $ years

To find Aaron's salary after any number of years $ t $, we use the same method. Each year, his salary increases by $3,500. Therefore, the expression for his salary after $ t $ years is:

\[
\text{Salary after } t \text{ years} = 52000 + 3500 \times t
\]

Where:
- $ 52000 $ is his starting salary.
- $ 3500 $ is the annual raise.
- $ t $ is the number of years he has worked.

So, after $ t $ years, Aaron's salary would be:

\[
52000 + 3500t
\]

### Summary

- Aaron's salary after 6 years: **$73,000**.
- Salary after $ t $ years: **$ 52000 + 3500t $**.

Would you like to see more details or have any further questions?

Here are 5 related questions to further explore this topic:

1. How much would Aaron's total earnings be after working for 6 years?
2. If Aaron's annual raise increased to $4,000, how would his salary after 6 years change?
3. How many years would it take for Aaron's salary to double his starting salary?
4. What would be the effect of an initial salary of $60,000 on his salary after $ t $ years?
5. If the raises were given every 6 months instead of annually, how would this affect his salary growth?

**Tip:** In problems involving sequences, identifying patterns or increments is key to forming general expressions.

Aaron just accepted a job at a new company where he will make an annual salary of $52,000. Aaron was told that for each year he stays with the company, he will be given a salary raise of $3,500. How much would Aaron make as a salary after 6 years working for the company? What would be his salary after t years?

Discover how to calculate Aaron's salary after working for 6 years with a starting salary of $52,000 and an annual raise of $3,500. Learn to find the general expression for his salary growth over t years. This problem explores arithmetic sequences and is suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation