The table to the right shows four​ states, their 2010​ populations, and their number of seats in a particular branch of​ government, which has a total of 379 seats. For state Upper B​, find the standard quota. Use the value 310 million for the total population. Explain whether each state is relatively​ under- or overrepresented in the House.
State
Population
Seats
A
6 comma 104 comma 000
7
B
18 comma 269 comma 000
22
C
16 comma 587 comma 000
21
D
17 comma 621 comma 000
21
 
Question content area bottom
Part 1
Select the correct choice below and fill in the answer box to complete your choice.
​(Round to two decimal places as​ needed.)
A.
State Upper B is overrepresented because its standard quota of 
  
enter your response here is less than its number of​ representatives, 22.
B.
State Upper B is underrepresented because its standard quota of 
  
enter your response here is more than its number of​ representatives, 22.

To determine the **standard quota** for state B, we need to use the following formula:

\[
\text{Standard Quota for State B} = \left( \frac{\text{Population of State B}}{\text{Total Population}} \right) \times \text{Total Seats in Government}
\]

Given the following information:

- Population of State B: 18,269,000
- Total Population: 310,000,000 (310 million)
- Total Seats: 379

Let's calculate:

\[
\text{Standard Quota for State B} = \left( \frac{18,269,000}{310,000,000} \right) \times 379
\]

Now, let me compute that.The **standard quota** for State B is approximately **22.34**.

Since the actual number of seats allocated to State B is 22 and the standard quota is 22.34, State B is slightly **underrepresented**, because its standard quota (22.34) is higher than its number of representatives (22).

Would you like further details or have any questions?

Here are some related questions to expand your understanding:

1. How do we calculate the standard quota for other states?
2. What does it mean if a state is overrepresented or underrepresented?
3. How do changes in population affect representation in a fixed number of seats?
4. What are rounding methods used in apportionment (e.g., Hamilton or Jefferson methods)?
5. How would a shift in total population impact the number of seats for each state?

**Tip:** The concept of standard quota helps identify how closely representation reflects a state's population, ensuring fairness in a proportional system.

The table to the right shows four states, their 2010 populations, and their number of seats in a particular branch of government, which has a total of 379 seats. For state B, find the standard quota. Use the value 310 million for the total population. Explain whether each state is relatively under- or overrepresented in the House.

Learn how to calculate the standard quota for State B using its 2010 population of 18.27 million and the total U.S. population of 310 million. This problem explores proportional representation in a 379-seat system and determines whether State B is overrepresented or underrepresented.

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