Question

What is the approximate percent increase when the population of a town increases from 12,089 to 15,025? Roun the population amounts to the nearest thousand to find an estimate of the percent increase.
answer chooses below


The percent increase is approximately 10%.

The percent increase is approximately 25%.

The percent increase is approximately 33%.

The percent increase is approximately 80%.​

Answer 1

Hello! To solve this exercise, we will need to use Rule of Three:

First, let's get important information contained in the text:

• The actual population equals 12,089, and it corresponds to 100%.
• It will increase to 15,025, but we don't know how many it will be, so we write this as "x".

Now, let's write this using the rule of three:

$12,089 \longrightarrow 100\:\%\\15,025 \longrightarrow x\:\%$

In this step, just multiply crosswise:

$12,089\cdot x = 15,025 \cdot 100\\12,089x = 1,502,500\\\\x = \dfrac{1,502,500}{12,089}\\\\x \approx 124.28\% - 100\%\\\\\boxed{x\approx 24.28\%}$

Analyzing the chooses, the correct is "The percent increase is approximately 25%".

Hope this helps! :)