Answer:
The percent of change in population was 2.58%
Step-by-step explanation:
Percentage calculations
The percent of change of some quantity is the relation between the difference of its values with respect to the original value. That is, if something had a value of [tex]V_o[/tex] and then it had a value of [tex]V_f[/tex], the change is [tex]V_f-V_o[/tex], the ratio of change is
[tex]\displaystyle \frac{V_f-V_o}{V_o}=\frac{V_f}{V_o}-1[/tex]
And the percent of change is
[tex]\displaystyle 100\left (\frac{V_f}{V_o}-1 \right )[/tex]
If this number is positive, the change was an increase. If is negative it was a decrease
The population of Boston Massachusetts was 574,283 and changed to [tex]\displaystyle 100\left (\frac{589,141}{574,283}-1 \right )[/tex].
The percent of change is
[tex]100(1.0258-1)=2.58\%[/tex]
The percent of change in population was 2.58%
