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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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