.30 elves exit Chocolatetown (not from Vanilaville) 20% of elves move from Chocolatetown to Vanillaville 50% of elves move from Vanillaville to Chocolatetown 10 elves enter Vanillaville (not to Chocolatetown) Let r(t) and y(t) be the number of elves in Chocolatetown and Vanillaville respectively, where t is in days and let x(t) = y(t) Suppose our model is x' = Ax + f

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Help... model the population of elves between Chocolatetown and Vanillaville. Every day, we simultaneously have: (look to bullet points below)

With this information in the image, please find A and f and include a flow diagram similar to the second image (but with relevant information from bullet pts) Thank you

30 elves exit Chocolatetown (not from Vanilaville)
20% of elves move from Chocolatetown to Vanillaville
50% of elves move from Vanillaville to Chocolatetown
10 elves enter Vanillaville (not to Chocolatetown)
Let r(t) and y(t) be the number of elves in Chocolatetown and
Vanillaville respectively, where t is in days and let x(t)
[x (1)]
[y(t)]
Suppose our model is x' = Ax + f
Transcribed Image Text:30 elves exit Chocolatetown (not from Vanilaville) 20% of elves move from Chocolatetown to Vanillaville 50% of elves move from Vanillaville to Chocolatetown 10 elves enter Vanillaville (not to Chocolatetown) Let r(t) and y(t) be the number of elves in Chocolatetown and Vanillaville respectively, where t is in days and let x(t) [x (1)] [y(t)] Suppose our model is x' = Ax + f
4 L/min water with
1/2 kg/L salt
Q1(t) salt
20 L water
1 L/min
3 L/min water with
1 kg/L salt
4 L/min
1 L/min
Q2(t) salt
10 L water
6 L/min
Transcribed Image Text:4 L/min water with 1/2 kg/L salt Q1(t) salt 20 L water 1 L/min 3 L/min water with 1 kg/L salt 4 L/min 1 L/min Q2(t) salt 10 L water 6 L/min
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