Carter just accepted a job at a new company where he will make an annual salary of $60000. Carter was told that for each year he stays with the company, he will be given a salary raise of $3000. How much would Carter make as a salary after 8 years working for the company? What would be his salary after tt years?

Carter's salary grows linearly over time since he gets a fixed raise of $3000 each year. Let's break it down:

### After 8 years:
- Initial salary: \$60,000
- Annual raise: \$3,000
- After 8 years, Carter would have received 8 raises of \$3,000.

The total salary increase after 8 years is:
\[
8 \times 3000 = 24000
\]
So, his salary after 8 years is:
\[
60,000 + 24,000 = 84,000
\]
Thus, after 8 years, Carter's salary will be \$84,000.

### After $ t $ years:
The formula to calculate his salary after $ t $ years can be written as:
\[
\text{Salary after } t \text{ years} = 60,000 + 3,000 \times t
\]
This formula gives Carter's salary based on the number of years $ t $ he stays with the company.

Would you like a deeper breakdown of this or have any other questions?

Here are 5 related questions:
1. How much total salary would Carter earn over 8 years?
2. What is the percentage increase in Carter’s salary after 5 years?
3. If Carter leaves the company after 6 years, what will his final salary be?
4. How many years will it take for Carter’s salary to reach \$100,000?
5. What is the average annual salary over his first 8 years?

**Tip:** Linear growth like this can be easily modeled using arithmetic sequences, where each year's salary forms the next term in the sequence!

Carter just accepted a job at a new company where he will make an annual salary of $60000. Carter was told that for each year he stays with the company, he will be given a salary raise of $3000. How much would Carter make as a salary after 8 years working for the company? What would be his salary after t years?

Discover how to calculate Carter's salary after 8 years with an initial salary of $60,000 and a $3,000 annual raise. This problem involves linear growth and arithmetic sequences, perfect for students in Grades 6-8.

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