Question

TRUE OR FALSE. A city has a population of 219,000 citizens. The population decreases by 4% over the course of a year. The new population is 215,040 citizens.

Answer 1

China gurl do you know how to calculate percentage change?

Answer 2

no

Answer 3

okay
City has population 219000,
let x be the decrease in people
We are given 4 % decrease so
\[ 4 =\frac{x}{219000} \times 100\]
so
\[x= \frac{219000\times 4}{100}\]
we get
x=8760
this is the decrease in population
New population= 219000-8760= 210240
so false

Answer 4

or multiply 219,000 x .96 and get the same answer

Answer 5

Why don't you learn, here the formula:
decrease% = different/ initial
= (215,040 - 219,000 ) / 215,040 = - 18.4 %

Answer 6

my formula is 1.00 = 100%
subtract whatever decrease from 1.00 in this case .04 and you get .96
then multiply

Answer 7

So decrease is NOT 4%

Answer 8

Oh yeah those numbers don't add up --- where did those 5000 people come from in the original question

Answer 9

\[219000*(100\%-4\%)\to 219000*0.96=210240 \]