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!