Logistic Model Equation: F(t) = A/(1+B*e^-kt) 15. To find the other two parameters, let's use two data points. The first point we have isF(0) = 3. Let's use that point along with F(11) to calculate the two missing constants. Showyour work and write the formula here. AB1 yearyears since 1975Percentage of households with a microwaveRate of change197530.819806.519827201451983348.666666667198611603.77.19921782.21.41666666719982390.71.0420032895.90.251020053096.40.141120103597.1-0.31220113696.8Using the scatter plot, we have120100804020510152025303540-20years since 1975Series1 Series2Percentage of households with a microwave

The Logistic model equation is F(t)=A1+Be-kt From the given data, we have…

15. To find the other two parameters, let's use two data points. The first point we have is F(0) = 3. Let's use that point along with F(11) to calculate the two missing constants. Show your work and write the formula here.

15. To find the other two parameters, let's use two data points. The first point we have is F(0) = 3. Let's use that point along with F(11) to calculate the two missing constants. Show your work and write the formula here.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.1: Quadratic Functions And Models

Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Logistic Model Equation: F(t) = A/(1+B*e^-kt)

15. To find the other two parameters, let's use two data points. The first point we have is
F(0) = 3. Let's use that point along with F(11) to calculate the two missing constants. Show
your work and write the formula here.

A
B
1 year
years since 1975
Percentage of households with a microwave
Rate of change
1975
3
0.8
1980
6.5
1982
7
20
14
5
1983
34
8.666666667
1986
11
60
3.7
7.
1992
17
82.2
1.416666667
1998
23
90.7
1.04
2003
28
95.9
0.25
10
2005
30
96.4
0.14
11
2010
35
97.1
-0.3
12
2011
36
96.8
Using the scatter plot, we have
120
100
80
40
20
5
10
15
20
25
30
35
40
-20
years since 1975
Series1 Series2
Percentage of households with a microwave

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