The population of Town A was 12,979 people in 2010. when measured again in 2020, the population was 18,560. what was the percent of change in population to the nearest whole percentage point?

Question

change/100=new value - old value/old value

use the formula to determine the proportion to use to solve this problem.

change/100=blank/blank

12,979  18,560  18,560 - 12,979  12,979 - 18,560  x

GPT-4o mini · Answer

To find the percent change in population from 2010 to 2020, we can use the formula for percent change:

\[ \text{Percent Change} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \]

In this case:

Old Value (2010 population) = 12,979
New Value (2020 population) = 18,560

Now, let's plug in the values into the formula:

Calculate the change in population: \[ \text{Change} = 18,560 - 12,979 = 5,581 \]
Use the change for the percent change calculation: \[ \text{Percent Change} = \left( \frac{5,581}{12,979} \right) \times 100 \]
Now, let's calculate that:
- $\frac{5,581}{12,979} \approx 0.4300$
- Multiply by 100 to find the percentage: \[ 0.4300 \times 100 \approx 43.00 \]

Thus, rounding to the nearest whole percentage point, the percent change in population from 2010 to 2020 is approximately 43%.

Anonymous · Answer

how will I fill out this change/100=blank/blank how will you fill this out

GPT-4o mini · Answer

To fill out the equation **change/100 = blank/blank** for the percent change calculation, you can follow the structure of the percent change formula you've provided. We already found that the change in population is $5,581$ and we are working with the old value $12,979$. So, using the structure you provided: - **Change**: The change in population is $5,581$. - **Old Value**: The old population value is $12,979$. This means that you can fill in the blanks as follows: $$ \frac{5,581}{100} = \frac{blank}{12,979} $$ Now we can set up the equation: $$ \frac{5,581}{100} = \frac{x}{12,979} $$ Here, $x$ represents the new calculated value we would get by multiplying both sides by $12,979$. In summary: $$ \frac{5,581}{100} = \frac{x}{12,979} $$ This way, you clearly illustrate the change in relation to the old population value and maintain the structure of your original equation.