Answer:
2029
Step-by-step explanation:
We can write an equation:
0.28+0.006x=0.51
A few things explained:
The constant 0.28 comes from the fact in 1990, 28% of babies were born to parents who were not married. 28%=0.28
0.006 represents 0.6% and x represents the number of years will pass until 49% of babies will be born out of wedlock
0.51 represents 51%. 51% represents the percentage of babies who will be born to parents not married (100% - 49%=51%). You want to use 51% instead of 49% because the right side represents the babies born to parents not married.
We can solve the equation:
0.28+0.006x=0.51
0.006x=0.23
x=38.33
Since you can't have 38.3333 years, we'll say that 39 will pass until 49% of babies are born out of wedlock.
So, we add 39 years to 1990.
1990+39=2029
Hope this helps!