You need to provide a clear and detailed solution for the following Questions:ofThe figure shows a street network where the direction of traffic flow isindicated by arrows and the average number of vehicles per hour that enter orexist on a street appears near the street.200400300100 ADy200100200w300300200a)For each intersection point, write input-equais-output equation.b)|| olve the linear system.

Given: Given a figure that shows a street network where the direction of the traffic flow is…

Answered: You need to provide a clear and…

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 taxi company is trying to find the quickest route during rush hour traffic from the airport to a major hotel. The roads from the airport to the hotel are represented by the grid below. Hotel Airport If the taxi must mover closer to the hotel with each turn, then the number of different possible routes is
2. To rent scooters, Sam's Scooters charges a $30 fee plus $8 per hour. Rosie's charges a $20 fee plus $10 per hour. Independent variable (x): Dependent variable (y): System of equations: { Graph: a. When does it make more sense to rent a scooter from Rosie's? How do you know? b. When does it make more sense to rent a scooter from Sam's? How do you know? c. Is there ever a time where it wouldn't matter which store to choose? Explain.
4. 9 An ice cream shop sells small and large sundaes. One day, 30 small sundaes and 50 large sundaes were sold for $420. Another day, 15 small sundaes and 35 large sundaes were sold for $270. Sales tax is included in all prices. If x is the cost of a small sundae and y is the cost of a large sundae, write a system of equations to represent this situation. Peyton thinks that small sundaes cost $2.75 and large sundaes cost $6.75. Is Peyton correct? Justify your answer. Using your equations, determine algebraically the cost of one small sundae and the cost of one large sundae.
Ms. Stecher bought a combination of bagels and muffins at her local bakery . Muffins cost $ 2.50 each and bagels cost $ 1.50 each. Ms. Stecher bought a total of 10 items and paid $ 19. The graph shows a system of equations for thai scenario where x is the number of muffins and y is the number of bagels in Ms. Stecher's order . a) Interpret the meaning of the points on the dashed line in the context of this problem . b) Interpret the meaning of the points on the solid line in the context of this problem . c ) Determine the solution of this system and interpret its meaning in the context of this problem .
Consider the following system of equations and its graph: (- 4x + y - 17 3x + 2y 10 18 16 14 12 10 -8 -10 -12 -14- -16 A) What is the soluition of the svstem?
Last year, Pinwheel Industries introduced a new toy. It cost $27002700 to develop the toy and $1515 to manufacture each toy. Fill in the blanks below as appropriate.A.) Give a linear equation in the form C=mn+bC=mn+b that gives the total cost, CC, to produce nn of these toys:C=C= B.) The total cost to produce n=1850n=1850 toys is $$.C.) With $$4170041700, a total of toys can be produced.
13) Draw the graph of the following linear equation: -5x - 3y =-15

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