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t = years since 1940 N = cubic ft. in trillions 3.75 8.48 10 15.09 23.79 20 30 40 21.87 50 21.52 60 24.15 (a) Make a logistic model for N as a function of t using Desmos. 12.54 O N(t) = 1+ 5.94e-0.35t 35.67 O N(t) = 1+ 3.41e-1.25t 23.31 O N(t) = 1+ 6.99e¬0.14' 34.86 O N(t) = 1+ 8.54e-0.912 29.53 O N(t) = 1+ 7.58e-0.88? (b) Graph the data and the logistic model.

t = years since 1940 N = cubic ft. in trillions 3.75 8.48 10 15.09 23.79 20 30 40 21.87 50 21.52 60 24.15 (a) Make a logistic model for N as a function of t using Desmos. 12.54 O N(t) = 1+ 5.94e-0.35t 35.67 O N(t) = 1+ 3.41e-1.25t 23.31 O N(t) = 1+ 6.99e¬0.14' 34.86 O N(t) = 1+ 8.54e-0.912 29.53 O N(t) = 1+ 7.58e-0.88? (b) Graph the data and the logistic model.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 44E
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N 30 30 25 25 20 20 15 15 10 10 5 5 t 70 10 20 30 40 50 60 70 10 20 30 40 50 60 30 30 25 25 20 20 15 15 10 10 5 5 10 20 30 40 50 60 70 10 20 30 40 50 60 70 (c) Which year's production was farthest from the prediction of the logistic model? (d) What does the logistic model predict for the amount of natural gas that will be produced in the long run? Note: In other contexts, this would be known as the carrying capacity. (Use the model found in part (a).) trillion
Transcribed Image Text:N 30 30 25 25 20 20 15 15 10 10 5 5 t 70 10 20 30 40 50 60 70 10 20 30 40 50 60 30 30 25 25 20 20 15 15 10 10 5 5 10 20 30 40 50 60 70 10 20 30 40 50 60 70 (c) Which year's production was farthest from the prediction of the logistic model? (d) What does the logistic model predict for the amount of natural gas that will be produced in the long run? Note: In other contexts, this would be known as the carrying capacity. (Use the model found in part (a).) trillion
t = years since 1940 N = cubic ft. in trillions 3.75 10 8.48 20 15.09 30 23.79 40 21.87 50 21.52 60 24.15 (a) Make a logistic model for N as a function of t using Desmos. 12.54 O N(t) = 1 + 5.94e-0.35t 35.67 O N(t) = 1 + 3.41e -1.25t 23.31 O N(t) = 1 + 6.99e-0.14t 34.86 O N(t) = 1 + 8.54e-0.91t 29.53 O N(t) = 1 + 7.58e-0.88t (b) Graph the data and the logistic model. N N 30 30 25 25 20 20 15 15 10 10 5 10 20 30 40 50 60 70 10 20 30 40 50 60 70
Transcribed Image Text:t = years since 1940 N = cubic ft. in trillions 3.75 10 8.48 20 15.09 30 23.79 40 21.87 50 21.52 60 24.15 (a) Make a logistic model for N as a function of t using Desmos. 12.54 O N(t) = 1 + 5.94e-0.35t 35.67 O N(t) = 1 + 3.41e -1.25t 23.31 O N(t) = 1 + 6.99e-0.14t 34.86 O N(t) = 1 + 8.54e-0.91t 29.53 O N(t) = 1 + 7.58e-0.88t (b) Graph the data and the logistic model. N N 30 30 25 25 20 20 15 15 10 10 5 10 20 30 40 50 60 70 10 20 30 40 50 60 70
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