Concept explainers
Traffic flow In the analyst of traffic flow, a certain city eatimates the following situation for the square of its downtown district. In the following figure, the arrows indicate the flow of traffic. If
and
and
and
Formulate equations for the traffic at
Solve the system of these four equations.
Can the entire traffic flow problem be studied and solved by counting only the
and
? Explain.
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Chapter 3 Solutions
Mathematical Applications for the Management, Life, and Social Sciences
- Dogs Human Age From the data printed in the following table from the Minneapolis Star Tribune on September 20, 1998, a dogs age when compared to a humans age can be modeled using either a linear formula or a quadratic formula as follows: y1=4.13x+14.63 y2=-0.033x2+4.647x+13.347, where y1 and y2 represent a dogs human age for each formula and x represents the dogs actual age. Source: Mathematics Teacher. Dog Age Human Age 1 16 2 24 3 28 5 36 7 44 9 52 11 60 13 68 15 76 a. Find y1 and y2 when x=5. b. Find dy1/dx and dy2/dx when x=5 and interpret your answers. c. If the first two points are eliminated from the table, find the equation of a line that perfectly fits the reduced set of data. Interpret your findings. d. Of the three formulas, which do you prefer?arrow_forwardExplain in words how you plot the point (4,2) in a rectangular coordinate system.arrow_forwardGraph the equations: (a) x=2 (b) y=3arrow_forward
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