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

change100 = new value − old valueold value

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

(1 point)
Drop target 1
Drop target 2
Question 2
What was the percent of change in population to the nearest whole percentage point?(1 point)
Responses

43% increase

57% increase

68% increase

75% increase

Answer 1

To calculate the percent of change in population from Town A from 2010 to 2020, we can use the formula you provided:

\[ \text{Percent Change} = \frac{\text{new value} - \text{old value}}{\text{old value}} \times 100 \]

In this case:

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

Now, we can substitute these values into the formula:

\[ \text{Percent Change} = \frac{18,560 - 12,979}{12,979} \times 100 \]

Calculating the change: \[ 18,560 - 12,979 = 5,581 \]

Now substituting this back into the equation: \[ \text{Percent Change} = \frac{5,581}{12,979} \times 100 \]

Now, calculate the fraction: \[ \frac{5,581}{12,979} \approx 0.4301 \]

Now multiply by 100 to get the percentage: \[ 0.4301 \times 100 \approx 43.01 \]

Rounding to the nearest whole percentage point gives us 43%.

So, the percent of change in population from 2010 to 2020 is a 43% increase.