Logistic Model equation:F(t) = A/(1+Be^-kt)Parameters:A: the maximum value of the function. This was found to be 98% from the graph.B: Constant value which helps determine the initial value of the function. This needs to be found.k: Determines the growth rate of the function. This also needs to be found. AB1 yearyears since 1975Percentage of households with a microwaveRate of change2197530.81980576.5419827201419838348.666666667198611603.7719921782.21.416666667819982390.71.0420032895.90.251020053096.40.141120103597.1-0.31220113696.8Using the scatter plot, we have120100804020510152025303540-20years since 1975Series1 Series2Percentage of households with a microwave 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.

Given equation, Ft=A1+Be-kt A = 98 So, Ft=981+Be-kt Find: Constants B and k.

Logistic Model equation: F(t) = A/(1+Be^-kt) Parameters: A: the maximum value of the function. This was found to be 98% from the graph. B: Constant value which helps determine the initial value of the function. This needs to be found. k: Determines the growth rate of the function. This also needs to be found.

Logistic Model equation: F(t) = A/(1+Be^-kt) Parameters: A: the maximum value of the function. This was found to be 98% from the graph. B: Constant value which helps determine the initial value of the function. This needs to be found. k: Determines the growth rate of the function. This also needs to be found.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 44E

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