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Let's address the questions based on the provided table:

### Part A: 
**Approximating the rate of change of U.S. population in 1999**

The table gives the following information for 1998 and 1999:
- Population in 1999: 272,690,813
- Population in 1998: 270,248,003

To approximate the rate of change, we can calculate the difference between these two years' populations:

\[
\text{Rate of change in population} = \text{Population in 1999} - \text{Population in 1998}
\]
\[
= 272,690,813 - 270,248,003 = 2,442,810
\]

The population change for 1999 is already provided in the table as **2,442,810**, which confirms this.

The **rate of change** here is in people per year, so the **units of measure** are **people/year**.

### Part B:
**Estimating the U.S. population in the year 2000**

Now, using the population change rate from part A (2,442,810 people/year), we can estimate the population for 2000 by adding this change to the population in 1999:

\[
\text{Estimated population in 2000} = \text{Population in 1999} + \text{Population change in 1999}
\]
\[
= 272,690,813 + 2,442,810 = 275,133,623
\]

So, the **estimated U.S. population in the year 2000** would be approximately **275,133,623**.

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Would you like more details on any of these steps or explanations?

Here are 5 related questions you might want to explore:
1. How would the average population growth from 1990 to 1999 be calculated?
2. What factors could cause variations in population change over the years?
3. How does population change affect economic policies?
4. Could the rate of change be used to predict population in future decades? How accurate would it be?
5. How can we calculate the percentage growth rate per year?

**Tip:** When estimating future values, consider using both average growth rates and recent trends for a more accurate prediction.

A table of historical national population estimates in the US from 1990 to 1999 is shown. Use the data on the table to approximate the rate of change of the U.S. population in 1999 and estimate the population in the year 2000.

Calculate the rate of change of the U.S. population in 1999 and estimate the population in the year 2000 based on historical data. This problem involves basic rate of change concepts and linear estimation.

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