Question

Suppose the population of a certain city is 5831 thousand. It is expected to decrease to 5204 thousand in 50 years. Find the percent decrease.

Answer 1

The percent decrease is approximately
`10.75\%`

(Don't know what you are expected to round to.)

Explanation:

Percent change can be calculated by doing:

`\frac{\text{original}-\text{new}}{\text{original}}`

Then you multiply the result to covert it to a percentage.

Let's use this formula:

`\frac{5831 \text{thousand}-5204 \text{ thousand }}{5831 \text{thousand}}`

`\frac{\text{thousand}}{\text{thousand}} \cdot (5831-5204)/(5831)`

`(5831-5204)/(5831)`

`(627)/(5831)`

`0.1075` approximately

Now the answer as a percent is
`10.75\%` approximately.

The percent decrease is approximately
`10.75\%`