Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.6 - Rational Functions and Their Graphs - Exercise Set - Page 402: 128

Answer

The given statement makes sense.

Work Step by Step

The horizontal asymptote of the given function must be checked for considering the percentage over time, since x here denotes the years after $1980$. Now, it is known that if the degree of the denominator and numerator are the same, then the horizontal asymptote is just the ratio of the leading coefficient of the numerator to the leading coefficient of the denominator. Thus, the fraction of nonviolent prisoners over time will be, $\begin{align} & f\left( x \right)=\frac{1.96}{3.04} \\ & =0.645 \\ & \approx 65 \end{align}$ As observed from above, the percentage of non-violent prisoners is more than 60 over time. Thus, the given statement makes sense.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.