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For question 10, let's begin by solving part a:

The given linear equation models the percent of immigrants of Hispanic descent arriving in the U.S. each year:

\[ H = -1.83y + 52.9 \]

Where \( H \) is the percent of immigrants of Hispanic descent and \( y \) is the number of years since 2000.

### Part (a)

To evaluate when \( y = 6 \):

\[ H = -1.83(6) + 52.9 \]

Let's calculate this value.For \( y = 6 \), the percentage of immigrants of Hispanic descent is \( 41.92\% \).

### Part (b)
The solution \( H = 41.92\% \) for \( y = 6 \) indicates that in the year 2006 (which is 6 years after 2000), the percentage of immigrants of Hispanic descent arriving in the U.S. was \( 41.92\% \).

If you need further details or have questions on this solution, feel free to ask. Here are some related questions you might find interesting:

1. What would the percentage of Hispanic immigrants be in the year 2010?
2. How much has the percentage decreased from the year 2000 to the year 2006?
3. Can you explain why the slope of the equation is negative?
4. How would you graph this equation?
5. What is the intercept of the equation and what does it represent?

**Tip:** To check your understanding, try evaluating the equation for different values of \( y \) and see how it affects the percentage of Hispanic immigrants.

A Pew Research Center Survey indicates the percent of immigrants of Hispanic descent arriving in the U.S. has been decreasing fairly consistently each year by 1.83% since 2000. In 2000, the percent of immigrants of Hispanic descent was 52.9%. The equation H = -1.83y + 52.9 models the percent of immigrants of Hispanic descent arriving in the U.S. each year, where y is the number of years since 2000.

Learn how to solve linear equations based on immigration trends, using the formula H = -1.83y + 52.9 to model the decrease in the percentage of immigrants of Hispanic descent arriving in the U.S. annually since 2000. This problem demonstrates key algebraic concepts and rate of change analysis.

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