Santiago just got hired as a dental assistant at Lake Hills Dental Care. His starting salary is $38,000, and his contract ensures that he will receive a 3% salary increase each year.
Write an exponential equation in the form y=a(b)x that can model Santiago's salary, y, after x years.

The situation describes Santiago's salary growth with a 3% annual increase. This growth can be modeled with an exponential equation of the form $ y = a(b)^x $, where:

- $ y $ is Santiago's salary after $ x $ years,
- $ a $ is the initial salary,
- $ b $ is the growth factor (based on the percentage increase),
- $ x $ is the number of years.

Given:
- Initial salary $ a = 38,000 $,
- Annual increase of 3%, which means the salary grows by 1.03 each year.

The exponential equation becomes:

\[
y = 38,000(1.03)^x
\]

Here, $ 1.03 $ represents the 3% increase, and $ x $ represents the number of years.

Would you like further details on how to use or interpret this equation?

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Here are 5 related questions:
1. How much will Santiago's salary be after 5 years?
2. How can we calculate the salary increase after 10 years?
3. What would happen if the percentage increase changed to 5% instead of 3%?
4. Can you find the total salary Santiago will have earned after 10 years?
5. How does the exponential model differ from a linear model in this case?

**Tip:** In exponential growth, the percentage increase applies to the entire current amount, so the growth compounds year after year.

Santiago just got hired as a dental assistant at Lake Hills Dental Care. His starting salary is $38,000, and his contract ensures that he will receive a 3% salary increase each year. Write an exponential equation in the form y=a(b)^x that can model Santiago's salary, y, after x years.

Learn how to model Santiago's salary growth using an exponential equation. Starting at $38,000 with a 3% annual increase, the problem illustrates exponential growth concepts in algebra. Perfect for students in Grades 9-11.

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