Question

Suppose the population of a certain city is 5891 thousand. It is expected to decrease to 5178 thousand in 50 years. Find the percent decrease. The percent decrease is approximately

Answer 1

First: work out the difference (decrease) between the two numbers you are comparing by the formula

Decrease = Original Number - New Number

In your case,

$\text{Decrease}=5891-5178=713.$

Second: divide the decrease by the original number and multiply the answer by 100.

% Decrease = Decrease ÷ Original Number × 100

In your case,

$\%\text{Decrease}=\dfrac{713}{5891}\cdot 100\%=12.1\%.$

Answer: The percent decrease is approximately  12.1%.

Answer 2

We are given

initial population is 5891

so, $P_i=5891$

Population after 50 years is 5178

so, $P_f=5178$

now, we can find percent error

so, we can use formula

$error=\frac{P_i-P_f}{P_i}\times 100$

now, we can plug values

$error=\frac{5891-5178}{5891}\times 100$

now, we can simplify it

so, we get

The percent decrease is 12.1032%.........Answer