Question

question 22, 9.2.51 hw score: 95%, 24.7 of 26 points points: 0.5 of 1 save the accompanying bar graph shows the resident population and the land area of a particular country for selected years from 1800 through 2019. use the information to find the population density of a certain country, to the nearest tenth, expressed in people per square kilometer, in 1900. 1 in² = 6.5 cm² 1 ft² = 0.09 m² 1 yd² = 0.8 m² 1 mi² = 2.6 km² 1 acre = 0.4 hectare (ha) click here to view the bar graph. the population density in 1900 was approximately (round to the nearest tenth as needed.)

Explanation:

To solve this problem, we need the population and land area of the country in 1900 from the bar graph (which is not provided here). However, assuming we have the population \( P \) (in people) and land area \( A \) (in square miles, for example), we can follow these steps:

Step 1: Convert land area to square kilometers

If the land area \( A \) is in square miles, we use the conversion factor \( 1\ \text{mi}^2 = 2.6\ \text{km}^2 \). So the land area in square kilometers \( A_{\text{km}^2} = A \times 2.6 \).

Step 2: Calculate population density

Population density \( D \) is given by the formula \( D=\frac{P}{A_{\text{km}^2}} \), where \( P \) is the population (in people) and \( A_{\text{km}^2} \) is the land area (in square kilometers).

Since the bar graph data is missing, let's assume (for illustration) that in 1900, the population \( P = 76212168 \) people and the land area \( A = 3022080 \) square miles (these are approximate values for the USA in 1900).

Step 1 (with assumed values): Convert land area to square kilometers

\( A_{\text{km}^2}=3022080\times2.6 = 7857408\ \text{km}^2 \)

Step 2 (with assumed values): Calculate population density

\( D = \frac{76212168}{7857408}\approx9.7 \) people per square kilometer.

If you provide the actual population and land area values from the bar graph, we can calculate the exact value.

For example, if the population in 1900 is \( P \) (people) and land area is \( A \) (square miles), the formula for population density \( D \) (people per square kilometer) is:

\[
D=\frac{P}{A\times2.6}
\]

You can substitute the values of \( P \) and \( A \) from the bar graph into this formula to get the answer.

Answer:

To solve this problem, we need the population and land area of the country in 1900 from the bar graph (which is not provided here). However, assuming we have the population \( P \) (in people) and land area \( A \) (in square miles, for example), we can follow these steps:

Step 1: Convert land area to square kilometers

If the land area \( A \) is in square miles, we use the conversion factor \( 1\ \text{mi}^2 = 2.6\ \text{km}^2 \). So the land area in square kilometers \( A_{\text{km}^2} = A \times 2.6 \).

Step 2: Calculate population density

Population density \( D \) is given by the formula \( D=\frac{P}{A_{\text{km}^2}} \), where \( P \) is the population (in people) and \( A_{\text{km}^2} \) is the land area (in square kilometers).

Since the bar graph data is missing, let's assume (for illustration) that in 1900, the population \( P = 76212168 \) people and the land area \( A = 3022080 \) square miles (these are approximate values for the USA in 1900).

Step 1 (with assumed values): Convert land area to square kilometers

\( A_{\text{km}^2}=3022080\times2.6 = 7857408\ \text{km}^2 \)

Step 2 (with assumed values): Calculate population density

\( D = \frac{76212168}{7857408}\approx9.7 \) people per square kilometer.

If you provide the actual population and land area values from the bar graph, we can calculate the exact value.

For example, if the population in 1900 is \( P \) (people) and land area is \( A \) (square miles), the formula for population density \( D \) (people per square kilometer) is:

\[
D=\frac{P}{A\times2.6}
\]

You can substitute the values of \( P \) and \( A \) from the bar graph into this formula to get the answer.