Given the model:
[tex]p=\frac{4x}{5}+25[/tex]
Where x is the number of years after 1980 and p is the percentage of college freshmen who had an average grade of A in high school.
a.
From the definition of x, in 2010 we have:
[tex]x=2010-1980=30[/tex]
Using the formula for p:
[tex]\begin{gathered} p=\frac{4(30)}{5}+25=24+25 \\ \\ \Rightarrow p=49\% \end{gathered}[/tex]
From the graph, in 2010 we have 47%, so the model overestimates the actual value by 2%.
