Question

in july of 2015, the elderly population (ages 65 and above) made up 13.76% of the population. it is projected that in the year 2060, the elderly population will make up 20.76% of the population. what are the total change and percent change of the elderly population? specify positive or negative by typing \+\ or \-\ on the first boxes. round up answers to 2 decimal spaces. total change = pp percent change = %

Explanation:

Step1: Calculate the total change

The formula for total change is \( \text{Final value}-\text{Initial value} \).
Here, the initial value (in 2015) is \(13.76\%\) and the final value (in 2060) is \(20.76\%\).
So, \(20.76 - 13.76=7.00\)

Step2: Calculate the percent change

The formula for percent change is \( \frac{\text{Final value}-\text{Initial value}}{\text{Initial value}}\times100\%\)
Substitute the values: \(\frac{20.76 - 13.76}{13.76}\times 100\%=\frac{7}{13.76}\times100\%\)
\(\frac{7}{13.76}\times100\% \approx 50.87\%\)

Answer:

Total change \(=+7.00\) pp
Percent change \(=+50.87\%\)