Question

completing a diagram

the population of one country changed from 23 million to 54 million. use the information to find the unknown values in the bar diagrams.

\\(a = 31\text{ million}\\)

\\(\frac{31}{23} \approx 1.347\\)

\\(b \approx\\)

\\(c \approx\\)

Explanation:

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<reasoning>

Identify the given values

The original population is \(23\text{ million}\).
The new population is \(54\text{ million}\).
The change in population is \(a = 31\text{ million}\).

Calculate the percent change b

The ratio of the change to the original is:
\[
\frac{31}{23} \approx 1.3478
\]
To convert this decimal to a percentage:
\[
1.3478 \times 100\% \approx 134.8\%
\]
Rounding to the nearest tenth of a percent gives:
\[
b \approx 134.8\%
\]
(Or if rounded to the nearest whole percent, \(135\%\)).

Calculate the new percent c

The new percentage represents the total new population relative to the original \(100\%\).
Using the bar diagram:
\[
c = 100\% + b
\]
Substituting the value of \(b\):
\[
c \approx 100\% + 134.8\% = 234.8\%
\]
Alternatively, using the ratio of the new value to the original value:
\[
\frac{54}{23} \approx 2.3478 \approx 234.8\%
\]
Rounding to the nearest tenth of a percent gives:
\[
c \approx 234.8\%
\]
(Or if rounded to the nearest whole percent, \(235\%\)).
</reasoning>

<answer>
Based on the calculations:

• \(b \approx 134.8\%\) (or \(135\%\))
• \(c \approx 234.8\%\) (or \(235\%\))

</answer>

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Answer:

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</pre_analysis>

<reasoning>

Identify the given values

The original population is \(23\text{ million}\).
The new population is \(54\text{ million}\).
The change in population is \(a = 31\text{ million}\).

Calculate the percent change b

The ratio of the change to the original is:
\[
\frac{31}{23} \approx 1.3478
\]
To convert this decimal to a percentage:
\[
1.3478 \times 100\% \approx 134.8\%
\]
Rounding to the nearest tenth of a percent gives:
\[
b \approx 134.8\%
\]
(Or if rounded to the nearest whole percent, \(135\%\)).

Calculate the new percent c

The new percentage represents the total new population relative to the original \(100\%\).
Using the bar diagram:
\[
c = 100\% + b
\]
Substituting the value of \(b\):
\[
c \approx 100\% + 134.8\% = 234.8\%
\]
Alternatively, using the ratio of the new value to the original value:
\[
\frac{54}{23} \approx 2.3478 \approx 234.8\%
\]
Rounding to the nearest tenth of a percent gives:
\[
c \approx 234.8\%
\]
(Or if rounded to the nearest whole percent, \(235\%\)).
</reasoning>

<answer>
Based on the calculations:

• \(b \approx 134.8\%\) (or \(135\%\))
• \(c \approx 234.8\%\) (or \(235\%\))

</answer>

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"Algebra",
"Percent of Change"
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