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
43% increase

57% increase
57% increase

68% increase
68% increase

75% increase
75% increase
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Answer 1

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

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

Given:

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

Now, plug in the values:

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

Calculating the change:

\[ 18,560 - 12,979 = 5,581 \]

Now, substitute this value back into the formula:

\[ \text{Percent Change} = \frac{5,581}{12,979} \times 100 \]

Calculating the fraction:

\[ \frac{5,581}{12,979} \approx 0.430 \]

Now multiply by 100 to get the percentage:

\[ 0.430 \times 100 \approx 43.0 \]

Thus, rounding to the nearest whole percentage point, the percent of change in population is 43% increase.

Answer:

43% increase