   Chapter 2, Problem 29RE Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 29-32, find an equation for the logistic function of x with the stared properties.Through ( 0 ,     100 ) , initially increasing by 50% per unit of x, and limiting value 900.

To determine

To calculate: The equation for the logistic function in x if it passed through (0,100) and limiting value is 900 when initially increasing by 50% per unit with x.

Explanation

Given Information:

Limiting value N of logistic function is 900 and it passed through (0,100) when initially increasing by 50% per unit with x.

Formula used:

Equation of the logistic function is given as:

f(x)=N1+Abx

y intercept is N1+A

Calculation:

Consider limiting value N is 900 and y intercept is 100 then put the value as given below:

100=N1+A100=9001+A1+A=9001001+A=9

Further simplify

A=8

Here function increasing in x with 50% that is 0

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