Answer:
1830-1840
Explanation:
To find which ten-year period New Orleans had the greatest increase in population, we need to find the greatest difference between two decades and that will indicate which time frame had the greatest population increase.
Solving:
Use the values from the starting year and subtract that from the ending year value.
[tex]\begin{enumerate} \item \textbf{1830--1840:} \[ 102{,}193 - 46{,}082 = \boxed{56{,}111} \] \item \textbf{1850--1860:} \[ 168{,}675 - 116{,}375 = \boxed{52{,}300} \] \item \textbf{1880--1890:} \[ 242{,}039 - 216{,}090 = \boxed{25{,}949} \] \item \textbf{1890--1900:} \[ 287{,}104 - 242{,}039 = \boxed{45{,}065} \][/tex]
As we can see, 1830-1840 had the greatest population increase.