The population in a small city increased from 1250 people to 2780 people. what is the percent of increase in the number of people? round to the nearest percent

a)45%
b)122%
c)55%
d)153%

Work Shown:

A = 1250 is the initial amount

B = 2780 is the new amount

C = percent change = unknown for now

The formula to use is

C = [ (B-A)/A ] * 100

to calculate the percent change.

Basically we calculate the change (B-A) first and then divide that over the original amount A to compute the decimal form of the answer, which is then converted over to percentage form. The "100" tacked on at the end is what converts from decimal to percent form.

C = [ (B-A)/A ] * 100

C = [ (2780 - 1250)/1250 ] * 100

C = (1530/1250)*100

C = 1.224 * 100

C = 122.4%

C = 122%

The positive C value indicates we have a percent increase. If C were negative, then we'd have a percent decrease.

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled