Answer
The year is 2020.
Work Step by Step
Consider the provided condition. It shows that the average decrease in the percentage is 1.7% each year and the initial percentage is 45%. So, for 11% the provided condition can be formulated as,
$45-1.7x=11$
Here, x shows the number of years after the year 2000.
Now, solve the above equation.
$\begin{align}
& 45-1.7x=11 \\
& -1.7x=11-45 \\
& x=\frac{-34}{-1.7} \\
& =20
\end{align}$
The above equation has x as the number of year after the year 2000. So the year in which the percentage will be 11% is,
$2000+20=2020$
Thus, 11% of all American adults will believe that most qualified students get to attend the college by the year 2020.
