https://file.aiquickdraw.com/mathbot/file/17280884381673yyf7k83.jpg

The equation given is:

\[
y = 1490.1x + 24,606.6
\]

Where:
- \( y \) is the average annual income of an American man over 25 with an associate's degree.
- \( x \) is the number of years after 2000.

To predict the average income in 2009, we need to substitute \( x = 2009 - 2000 = 9 \) into the equation.

\[
y = 1490.1(9) + 24,606.6
\]

Let's calculate this:

\[
y = 1490.1 \times 9 + 24,606.6
= 13,410.9 + 24,606.6
= 38,017.5
\]

Thus, the predicted average income in 2009 is \( y = 38,017.5 \).

Would you like further details on how this was calculated? Also, here are five related questions for further exploration:

1. What would be the predicted income in 2015 using the same equation?
2. How much does the average income increase per year according to the equation?
3. If the trend continues, what will the income be in 2025?
4. How would the equation change if the income increase per year was higher?
5. Can we use this equation to estimate the income in 1995?

**Tip:** Always check if your equation is linear or exponential when predicting future trends, as they model growth differently.

Predict the average income of an American man with an associate's degree in 2009 using the equation y = 1490.1x + 24,606.6, where x is the number of years after 2000.

Learn how to predict the average income of an American man with an associate's degree in 2009 using the linear equation y = 1490.1x + 24,606.6. This algebraic problem covers key concepts such as linear equations and the substitution method. Suitable for students in Grades 8-10.

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