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

Answer:

The year is  $b = 1995$

Step-by-step 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

       $n = \frac{3\%}{0.6\%}$

=>     $n = 5\ years$

Generally the year which the considered percentage will be attained is  

    $b = 1990 + n$

=> $b = 1990 + 5$

=> $b = 1995$