Which of the following statements best characterizes a comparison depicted in the chart?

\begin{tabular}{|l|c|c|}
\hline & Bangladesh & Utah \\
\hline \begin{tabular}{l}
Population \\
(in millions), 2004
\end{tabular} & 141.3 & 2.4 \\
\hline \begin{tabular}{l}
Total area \\
(in square miles)
\end{tabular} & 55,598 & 82,144 \\
\hline \begin{tabular}{l}
Population density \\
(per sq mi)
\end{tabular} & 2,542 & 29 \\
\hline Birthrate & 30 & 21.2 \\
\hline Fertility rate & 3.3 & 2.5 \\
\hline
\end{tabular}

A. The average woman in Bangladesh will have 0.8 more children than a woman in Utah.

B. On average, women who live in both Bangladesh and Utah will have 5.8 children.

C. The average woman in Bangladesh will have 3.3 times as many children as a woman in Utah.

D. The average woman in Utah will have 0.8 more children than a woman in Bangladesh.



Answer :

To determine which statement best characterizes the comparison depicted in the chart, let's carefully analyze the given information and the options provided.

Given Data:
- Fertility rate in Bangladesh: 3.3
- Fertility rate in Utah: 2.5

Step-by-Step Analysis:

1. Option A: The average woman in Bangladesh will have 0.8 more children than a woman in Utah.
- To verify this, subtract the fertility rate of Utah from the fertility rate of Bangladesh:
[tex]\[ 3.3 - 2.5 = 0.8 \][/tex]
- This statement suggests that the difference in fertility rates is 0.8, which directly checks out with our given fertility rates.

2. Option B: On average, women who live in both Bangladesh and Utah will have 5.8 children.
- To verify this, add the fertility rates of Bangladesh and Utah:
[tex]\[ 3.3 + 2.5 = 5.8 \][/tex]
- This statement suggests that the sum of the fertility rates is 5.8, which is indeed correct.

3. Option C: The average women in Bangladesh will have 3.3 times as many children as a woman in Utah.
- To verify this, divide the fertility rate of Bangladesh by the fertility rate of Utah:
[tex]\[ \frac{3.3}{2.5} = 1.32 \][/tex]
- This statement suggests that the fertility rate of Bangladesh is 3.3 times that of Utah, which is not correct as the result is 1.32, not 3.3.

4. Option D: The average woman in Utah will have 0.8 more children than a woman in Bangladesh.
- To verify this, subtract the fertility rate of Bangladesh from the fertility rate of Utah:
[tex]\[ 2.5 - 3.3 = -0.8 \][/tex]
- This statement suggests that the difference in fertility rates is the opposite and makes no logical sense as it involves a negative value.

The correct statement, based on the given comparison and our analysis, is Option B, since it correctly reflects the sum of the fertility rates of women in Bangladesh and Utah. However, note that Option A was also mathematically correct, but based on our final comparison check, option selection verified that statement B was validated.

Therefore, the most accurate statement best characterizing the comparison depicted in the chart would be:
Option B: On average, women who live in both Bangladesh and Utah will have 5.8 children.

To determine which statement best characterizes the comparison depicted in the chart, let's carefully analyze the given information and the options provided.

Given Data:

- Fertility rate in Bangladesh: 3.3

- Fertility rate in Utah: 2.5

Step-by-Step Analysis:

1. Option A: The average woman in Bangladesh will have 0.8 more children than a woman in Utah.

- To verify this, subtract the fertility rate of Utah from the fertility rate of Bangladesh:

3.3

2.5

=

0.8

3.3−2.5=0.8

- This statement suggests that the difference in fertility rates is 0.8, which directly checks out with our given fertility rates.

2. Option B: On average, women who live in both Bangladesh and Utah will have 5.8 children.

- To verify this, add the fertility rates of Bangladesh and Utah:

3.3

+

2.5

=

5.8

3.3+2.5=5.8

- This statement suggests that the sum of the fertility rates is 5.8, which is indeed correct.

3. Option C: The average women in Bangladesh will have 3.3 times as many children as a woman in Utah.

- To verify this, divide the fertility rate of Bangladesh by the fertility rate of Utah:

3.3

2.5

=

1.32

2.5

3.3

=1.32

- This statement suggests that the fertility rate of Bangladesh is 3.3 times that of Utah, which is not correct as the result is 1.32, not 3.3.

4. Option D: The average woman in Utah will have 0.8 more children than a woman in Bangladesh.

- To verify this, subtract the fertility rate of Bangladesh from the fertility rate of Utah:

2.5

3.3

=

0.8

2.5−3.3=−0.8

- This statement suggests that the difference in fertility rates is the opposite and makes no logical sense as it involves a negative value.

The correct statement, based on the given comparison and our analysis, is Option B, since it correctly reflects the sum of the fertility rates of women in Bangladesh and Utah. However, note that Option A was also mathematically correct, but based on our final comparison check, option selection verified that statement B was validated.

Therefore, the most accurate statement best characterizing the comparison depicted in the chart would be:

Option B: On average, women who live in both Bangladesh and Utah will have 5.8 children.

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