The traffic through downtown Johannesburg follows the one-way system shown below, with traffic movement recorded at incoming and outgoing streets (in cars per minute) as shown. %23 150 200 50 Bree 100 100 Jeppe 100 50 system of equations to solve for the traffic flow along the middle sections of the four streets. (Assume x = traffic on the middle section of Bree, y = traffic on the middle (a) Set up and solve section of Jeppe, z= traffic on the middle section of Simmons, and w= traffic on the middle section of Harrison. If the system is dependent, express your answer using the parameters x, y, z, and/or w.) (x, y, z, w) = (b) Is there sufficient information to calculate the traffic along the middle section of Jeppe Street? If so, what is it; if not, why not? O Yes, there is sufficient information, and the value is 50 cars. O Yes, there is sufficient information, and the value is 100 cars. O Yes, there is sufficient information, and the value is 500 cars. • No, there is not sufficient information, because the equation describing y has no possible values. O No, there is not sufficient information, because the equation describing y has more than one possible value. (c) Given that 500 cars per minute flow down the middle section of Bree Street, how many cars per minute flow down the middle section of Simmons? cars per minute
The traffic through downtown Johannesburg follows the one-way system shown below, with traffic movement recorded at incoming and outgoing streets (in cars per minute) as shown. %23 150 200 50 Bree 100 100 Jeppe 100 50 system of equations to solve for the traffic flow along the middle sections of the four streets. (Assume x = traffic on the middle section of Bree, y = traffic on the middle (a) Set up and solve section of Jeppe, z= traffic on the middle section of Simmons, and w= traffic on the middle section of Harrison. If the system is dependent, express your answer using the parameters x, y, z, and/or w.) (x, y, z, w) = (b) Is there sufficient information to calculate the traffic along the middle section of Jeppe Street? If so, what is it; if not, why not? O Yes, there is sufficient information, and the value is 50 cars. O Yes, there is sufficient information, and the value is 100 cars. O Yes, there is sufficient information, and the value is 500 cars. • No, there is not sufficient information, because the equation describing y has no possible values. O No, there is not sufficient information, because the equation describing y has more than one possible value. (c) Given that 500 cars per minute flow down the middle section of Bree Street, how many cars per minute flow down the middle section of Simmons? cars per minute
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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