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?

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

3 answers

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:

  1. Calculate the change in population: \[ \text{Change} = 18,560 - 12,979 = 5,581 \]

  2. Use the change for the percent change calculation: \[ \text{Percent Change} = \left( \frac{5,581}{12,979} \right) \times 100 \]

  3. 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%.

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

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.