91Ó°ÊÓ

Here it is given that following information

Rosa’s professor says that the midterm exam will count $40\%$and final exam will count for $60\%$

Which Consider the inequality showing this situation $0.4x+0.6yâ‰\yen 90$

The variables are respectively the midterm score and final exam score.

The graph can be plot in inequality $0.4x+0.6yâ‰\yen 90$shown below,

To find out whether Rosa can score an A if she gets $85$get in midterm and $95$in the final, the point $\left(85,95\right)$final, the point it should lie in the shaded region represents as the feasible region.

Consider boundary here is of graph Another way to find out whether she can score an A on getting $85$in midterm and $95$in final is that the point $\left(85,95\right)$should satisfy the inequality.

Putting the value $x=85$Putting the value and $y=95$value and in the inequality,

$\begin{array}{l}0.4x+0.6yâ‰\yen 90\\ 0.4\left(85\right)+0.6\left(95\right)â‰\yen 90\\ 34+57â‰\yen 90\end{array}$

Therefore,

$91â‰\yen 90$

Hence, $\left(85,95\right)$lies in the shaded region which has the interpretation that Rosa will score an if she get $85$ in midterm $95$ and in the final.

Therefore, the answer is yes.