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

The percent of change in population was 2.58%

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 (V_f-V_o)/(V_o)=(V_f)/(V_o)-1`

And the percent of change is

`\displaystyle 100\left ((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 ((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%