Answer :
To determine which country showed the greatest percentage increase in world manufacturing from 1870 to 1913, we need to look at the changes in the respective percentages for each country over this period. The given data provides the following percentages:
[tex]\[ \begin{array}{|l|c|c|} \hline \text{Country} & \text{1870} & \text{1913} \\ \hline \text{US} & 23\% & 36\% \\ \hline \text{Germany} & 13\% & 16\% \\ \hline \text{Great Britain} & 32\% & 14\% \\ \hline \text{France} & 10\% & 6\% \\ \hline \text{Russia} & 4\% & 6\% \\ \hline \text{Belgium} & 3\% & 2\% \\ \hline \end{array} \][/tex]
We calculate the percentage increase for each country by subtracting its 1870 percentage from its 1913 percentage:
1. US:
[tex]\[ 36\% - 23\% = 13\% \][/tex]
2. Germany:
[tex]\[ 16\% - 13\% = 3\% \][/tex]
3. Great Britain:
[tex]\[ 14\% - 32\% = -18\% \][/tex]
(This indicates a decrease in percentage rather than an increase.)
4. France:
[tex]\[ 6\% - 10\% = -4\% \][/tex]
(This also indicates a decrease.)
5. Russia:
[tex]\[ 6\% - 4\% = 2\% \][/tex]
6. Belgium:
[tex]\[ 2\% - 3\% = -1\% \][/tex]
(This also indicates a decrease.)
Now, we compare these percentage changes to identify the greatest increase:
- US: 13%
- Germany: 3%
- Great Britain: -18%
- France: -4%
- Russia: 2%
- Belgium: -1%
The greatest percentage increase in world manufacturing from 1870 to 1913 was exhibited by the United States, with an increase of 13%.
Therefore, the correct country is:
The United States
[tex]\[ \begin{array}{|l|c|c|} \hline \text{Country} & \text{1870} & \text{1913} \\ \hline \text{US} & 23\% & 36\% \\ \hline \text{Germany} & 13\% & 16\% \\ \hline \text{Great Britain} & 32\% & 14\% \\ \hline \text{France} & 10\% & 6\% \\ \hline \text{Russia} & 4\% & 6\% \\ \hline \text{Belgium} & 3\% & 2\% \\ \hline \end{array} \][/tex]
We calculate the percentage increase for each country by subtracting its 1870 percentage from its 1913 percentage:
1. US:
[tex]\[ 36\% - 23\% = 13\% \][/tex]
2. Germany:
[tex]\[ 16\% - 13\% = 3\% \][/tex]
3. Great Britain:
[tex]\[ 14\% - 32\% = -18\% \][/tex]
(This indicates a decrease in percentage rather than an increase.)
4. France:
[tex]\[ 6\% - 10\% = -4\% \][/tex]
(This also indicates a decrease.)
5. Russia:
[tex]\[ 6\% - 4\% = 2\% \][/tex]
6. Belgium:
[tex]\[ 2\% - 3\% = -1\% \][/tex]
(This also indicates a decrease.)
Now, we compare these percentage changes to identify the greatest increase:
- US: 13%
- Germany: 3%
- Great Britain: -18%
- France: -4%
- Russia: 2%
- Belgium: -1%
The greatest percentage increase in world manufacturing from 1870 to 1913 was exhibited by the United States, with an increase of 13%.
Therefore, the correct country is:
The United States