Farmers The logistic modelW1t2 = 14,656,2481 + 0.059e0.057t represents the number of farm workers in the United Statest years after 1910.(a) Evaluate and interpret W102.(b) Use a graphing utility to graph W = W1t2.(c) How many farm workers were there in the United Statesin 2010?(d) When did the number of farm workers in the UnitedStates reach 10,000,000?(e) According to this model, what happens to the number offarm workers in the United States as t approaches q?Based on this result, do you think that it is reasonable touse this model to predict the number of farm workers inthe United States in 2060? Why?Source: U.S. Department of Agriculture

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ISBN:9781938168383
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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Farmers The logistic model
W1t2 = 14,656,248
1 + 0.059e0.057t

represents the number of farm workers in the United States
t years after 1910.
(a) Evaluate and interpret W102.
(b) Use a graphing utility to graph W = W1t2.
(c) How many farm workers were there in the United States
in 2010?
(d) When did the number of farm workers in the United
States reach 10,000,000?
(e) According to this model, what happens to the number of
farm workers in the United States as t approaches q?
Based on this result, do you think that it is reasonable to
use this model to predict the number of farm workers in
the United States in 2060? Why?
Source: U.S. Department of Agriculture

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