The following table shows some data from a study on substance use among 10th graders in the United States and Europe. Smoked Cigarettes Cigarette-Free Totals U.S. x y 12,000 Europe z w 95,000 Total 69,210 107,000 (a) The table leads to a linear system of four equations in four unknowns. What is the system? x + y = 12,000 z + w = 95,000 y + w = 69,210 x + y + z + w = 107,000 x + y = 12,000 z + w = 95,000 y + w = 69,210 x + w = 107,000 x + y = 12,000 y + w = 95,000 z + w = 69,210 x + y + z + w = 107,000 x + y = 12,000 y + w = 95,000 z + w = 69,210 x + w = 107,000 Does it have a unique solution? This system has infinitely many solutions.This system has no solution. This system has a finite number of solutions.This system has one solution. What does this indicate about the missing data? The given data is sufficient to obtain the missing data (x, y, z and w).The given data is insufficient to obtain the missing data (x, y, z and w). (b) Given that 34,510 more European 10th graders smoked cigarettes than U.S. 10th graders, find the missing data. (x, y, z, w) =
The following table shows some data from a study on substance use among 10th graders in the United States and Europe. Smoked Cigarettes Cigarette-Free Totals U.S. x y 12,000 Europe z w 95,000 Total 69,210 107,000 (a) The table leads to a linear system of four equations in four unknowns. What is the system? x + y = 12,000 z + w = 95,000 y + w = 69,210 x + y + z + w = 107,000 x + y = 12,000 z + w = 95,000 y + w = 69,210 x + w = 107,000 x + y = 12,000 y + w = 95,000 z + w = 69,210 x + y + z + w = 107,000 x + y = 12,000 y + w = 95,000 z + w = 69,210 x + w = 107,000 Does it have a unique solution? This system has infinitely many solutions.This system has no solution. This system has a finite number of solutions.This system has one solution. What does this indicate about the missing data? The given data is sufficient to obtain the missing data (x, y, z and w).The given data is insufficient to obtain the missing data (x, y, z and w). (b) Given that 34,510 more European 10th graders smoked cigarettes than U.S. 10th graders, find the missing data. (x, y, z, w) =
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.1: The Graphing Method
Problem 4CE
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Question
The following table shows some data from a study on substance use among 10th graders in the United States and Europe.
Smoked Cigarettes | Cigarette-Free | Totals | |
---|---|---|---|
U.S. | x | y | 12,000 |
Europe | z | w | 95,000 |
Total | 69,210 | 107,000 |
(a)
The table leads to a linear system of four equations in four unknowns. What is the system?
x | + | y | = | 12,000 | ||||
z | + | w | = | 95,000 | ||||
y | + | w | = | 69,210 | ||||
x | + | y | + | z | + | w | = | 107,000 |
|
x | + | y | = | 12,000 | ||||
z | + | w | = | 95,000 | ||||
y | + | w | = | 69,210 | ||||
x | + | w | = | 107,000 | ||||
|
x | + | y | = | 12,000 | ||||
y | + | w | = | 95,000 | ||||
z | + | w | = | 69,210 | ||||
x | + | y | + | z | + | w | = | 107,000 |
|
x | + | y | = | 12,000 | ||||
y | + | w | = | 95,000 | ||||
z | + | w | = | 69,210 | ||||
x | + | w | = | 107,000 | ||||
|
Does it have a unique solution?
This system has infinitely many solutions.This system has no solution. This system has a finite number of solutions.This system has one solution.
What does this indicate about the missing data?
The given data is sufficient to obtain the missing data (x, y, z and w).The given data is insufficient to obtain the missing data (x, y, z and w).
(b)
Given that 34,510 more European 10th graders smoked cigarettes than U.S. 10th graders, find the missing data.
(x, y, z, w) =
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