QuestionFind the absolute and relative changes in the population over 65 from 8.91% in 1980 to 23.32% in 2020. Round as specified.

Studdy Solution

STEP 1

Assumptions1. The percentage of the population over the age of65 in1980 is8.91% . The percentage of the population over the age of65 in2020 is23.32%

STEP 2

First, we need to find the absolute change in the percent of the population that is over the age of65 between1980 and2020. This is done by subtracting the percentage in1980 from the percentage in2020.
$Absolute\, Change = Percentage\, in\,2020 - Percentage\, in\,1980$

STEP 3

Now, plug in the given values for the percentages in1980 and2020 to calculate the absolute change.
$Absolute\, Change =23.32\% -8.91\%$

STEP 4

Calculate the absolute change.
$Absolute\, Change =23.32\% -8.91\% =14.41\%$ The absolute change in the percent of the population that is over the age of65 between1980 and2020 is14.41%.

STEP 5

Next, we need to find the relative change in the percent of the population that is over the age of65 between1980 and2020. This is done by dividing the absolute change by the percentage in1980 and then multiplying by100 to get a percentage.
$Relative\, Change = \frac{Absolute\, Change}{Percentage\, in\,1980} \times100$

STEP 6

Now, plug in the given values for the absolute change and the percentage in1980 to calculate the relative change.
$Relative\, Change = \frac{14.41\%}{8.91\%} \times100$

STEP 7

Calculate the relative change.
$Relative\, Change = \frac{14.41\%}{.91\%} \times100 =161.7\%$ The relative change in the percent of the population that is over the age of65 between1980 and2020 is161.7%.

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