Let's go through the question based on the image you uploaded. Here's how we can solve each part of the problem:

Problem Recap:

• In 2000, 20.95% of immigrants arriving in the U.S. were of Asian descent.
• Each year, this percentage increases by 1.15%.
• $y$ represents the number of years since 2000.

a. Equation for percentage of immigrants of Asian descent

The percentage of immigrants of Asian descent increases by 1.15% per year. The general form of a linear equation is: $P(y) = P_0 + ry$ Where:

• $P(y)$ is the percentage of Asian immigrants in year $y$,
• $P_0 = 20.95$ is the initial percentage in the year 2000,
• $r = 1.15$ is the yearly increase rate,
• $y$ is the number of years since 2000.

So, the equation becomes: $P(y) = 20.95 + 1.15y$

b. Verify equation when $y = 0$

Substitute $y = 0$ into the equation: $P(0) = 20.95 + 1.15(0) = 20.95$ This matches the given value for the year 2000, verifying that the equation is correct.

c. Equation for when Asian and Hispanic immigrant percentages are equal

Let's assume that we are asked to find when the percentage of Asian immigrants is equal to the percentage of Hispanic immigrants. However, the percentage of Hispanic immigrants is not provided in the problem, so we cannot proceed with this part without additional information about Hispanic immigrants' percentage. Do you have this data, or is it perhaps missing from the problem?

d. Solve the equation from part c (dependent on more information)

We will be able to solve for the number of years $y$ when we have the percentage equation for Hispanic immigrants.

e. State the answer from part d in context

Again, this would depend on the result from part d.

Would you like to provide the missing percentage data for Hispanic immigrants, or should I proceed based on assumptions? Also, let me know if you need further clarifications.

Related Questions:

1. How would the equation change if the increase rate changed annually?
2. Can this situation be modeled using an exponential growth function?
3. What happens to the percentage of Asian immigrants after 50 years?
4. How would you represent the population growth if the increase rate was halved?
5. How does the linear equation help predict future trends in immigration?

Tip:

Always ensure you have all necessary information before solving a problem involving two variables.