in 1986, 43% of U.S. adults approved of men and women living together without being married. for the period from 1986 through 2007, the percentage approving of cohabitation increased on average by approzimately 0.6 each year. if this trend continues, by which year will 61% of all american adults approve of cohabitation?
61-43 (Goal % and current %) = 18 %
18% / 0.6% = 30 years
To find out by which year 61% of all American adults will approve of cohabitation, we first need to determine the number of years it will take for the approval rate to increase from 43% to 61%.
The increase in approval rate each year is approximately 0.6%. So, we can calculate the number of years it will take with the following equation:
(Number of years) * (annual increase) + Initial approval rate = Target approval rate
Let's solve the equation:
(Number of years) * 0.6 + 43 = 61
0.6 * (Number of years) = 18
(Number of years) = 18 / 0.6
Number of years ≈ 30
Therefore, it will take approximately 30 years from 1986 for 61% of American adults to approve of cohabitation.
To find the year, we add the calculated number of years to 1986:
1986 + 30 = 2016
So, by the year 2016, we can expect approximately 61% of all American adults to approve of cohabitation.
To find out by which year 61% of all American adults will approve of cohabitation based on the trend, we can use simple linear interpolation.
First, let's calculate the number of years it takes for the approval rate to increase from 43% to 61%. The difference between the two approval rates is 61% - 43% = 18%.
Then, we divide this difference by the average yearly increase of 0.6%: 18% / 0.6% = 30.
From this calculation, we find that it will take 30 years for the approval rate to increase by 18%.
Now, to determine the year when 61% of all American adults will approve of cohabitation, we need to add these 30 years to the starting year of 1986.
1986 + 30 = 2016.
Therefore, if the trend continues, 61% of all American adults will approve of cohabitation by the year 2016.