Question

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%​

Answer 1

Answer: Choice B) 122%

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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.

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

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

C = (1530/1250)*100

C = 1.224 * 100

C = 122.4%

C = 122%

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

Answer 2

The answer for this question is B