Question

In 1990 the population of boston Massachusetts was 574,283.in 2000,the pipulation was 589141.what is the percent of change in population?

Answer 1

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 $V_o$ and then it had a value of $V_f$, the change is $V_f-V_o$, the ratio of change is

$\displaystyle \frac{V_f-V_o}{V_o}=\frac{V_f}{V_o}-1$

And the percent of change is

$\displaystyle 100\left (\frac{V_f}{V_o}-1 \right )$

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 $\displaystyle 100\left (\frac{589,141}{574,283}-1 \right )$.

The percent of change is

$100(1.0258-1)=2.58\%$

The percent of change in population was 2.58%