The following curve is a model of the total population in state prisons as a function of time in years (t = 0 represents 1980). 1. According to the model, the total state prison population was increasing fastest around what year?   2. Roughly estimate the instantaneous rate of change of N at t = 16 by using a balanced difference quotient with h = Interpret the result.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 66E
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The following curve is a model of the total population in state prisons as a function of time in years (t = 0 represents 1980).

1According to the model, the total state prison population was increasing fastest around what year?

 

2Roughly estimate the instantaneous rate of change of at = 16 by using a balanced difference quotient with = Interpret the result.

N
0.4
4
8
12
16
24
28
Year
Number of prisoners (millions)
20
Transcribed Image Text:N 0.4 4 8 12 16 24 28 Year Number of prisoners (millions) 20
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