The function representing the percent of group H in the population is given to be:
[tex]H(x)=0.305x+9.5[/tex]
The number of years after 1990 when the population percentage of group H will be 15.6% can be calculated as follows:
[tex]\begin{gathered} H(x)=15.6 \\ \therefore \\ 15.6=0.305x+9.5 \\ 0.305x=15.6-9.5=6.1 \\ x=\frac{6.1}{0.305} \\ x=20 \end{gathered}[/tex]
Therefore, the year will be:
[tex]\Rightarrow1990+20=2010[/tex]
What this means is that from 2010 and beyond, the population percentage will be 15.6% or more.
Hence, the population percentage will be at least 15.6% in the year 2010 and after.
