Question

According to the National Center for Health​ Statistics, in​ 1990, 28% of babies in the United States were born to parents who were not married. Throughout the​ 1990s, this increased by approximately 0.6% per year. If this trend​ continues, in which year will 31% of babies be born out of​ wedlock?

Answer 1

The year is
`b = 1995`

Explanation:

From the question we are told that

The percentage of the number of babies born out of wedlock in 1990 is k = 28%

The percentage by which the number increase per year is i = 0.6%

The percentage of of the number of babies born out of wedlock considered is a = 31%

Generally the difference in between the percentage in 1990 and the percentage considered is

`d = a - k`

=>
`d = 31 - 28`

=>
`d = 3\%`

Generally the number of year require for the percentage to be equal to 31% is mathematically represented as

`n = (3\%)/(0.6\%)`

=>
`n = 5\ years`

Generally the year which the considered percentage will be attained is

`b = 1990 + n`

=>
`b = 1990 + 5`

=>
`b = 1995`