Chapter 8.2, Problem 98PE

Brian’s score on an exam is a function of the number of hours he spends studying. The function defined by $P\left(x\right)=\frac{100x^2}{50+x^2}\left(x\ge 0\right)$ indicates that he will achieve a score of $P\%$ if he studies for $x$ hours.

Evaluate $P\left(0\right),P\left(5\right),P\left(10\right),P\left(15\right),P\left(20\right),$ and $P\left(25\right)$ and confirm the values on the graph. (Round to one decimal place.) Interpret $P\left(25\right)$ in the context of this problem.