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}=(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=(P_i-P_f)/(P_i)* 100`

now, we can plug values

`error=(5891-5178)/(5891)* 100`

now, we can simplify it

so, we get

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