12. You are considering a going on a vacation, and you find two different deals on a travel website. Sun Fun Travel is offering $250 round trip airfare from San Francisco to Honolulu, plus$140 per night for the hotel. Holiday Excursions is offering $425 round trip airfare from San Francisco to Honolulu, plus $100 per might for the hotel. a. How much would you pay for each trip if you stayed in the hotel for 2 nights? write a system of equations to model the two travel options. Define the variables you are using in the equations. c. Solve the system of equations using the equal values method. What is the solution and what does it tell you about when each option is best? d. Graph the system on your calculator and use the graph to check your solution in c. Explain how you are using the graph.

12. You are considering a going on a vacation, and you find two different deals on a travel website. Sun Fun Travel is offering $250 round trip airfare from San Francisco to Honolulu, plus$140 per night for the hotel. Holiday Excursions is offering $425 round trip airfare from San Francisco to Honolulu, plus $100 per might for the hotel. a. How much would you pay for each trip if you stayed in the hotel for 2 nights? write a system of equations to model the two travel options. Define the variables you are using in the equations. c. Solve the system of equations using the equal values method. What is the solution and what does it tell you about when each option is best? d. Graph the system on your calculator and use the graph to check your solution in c. Explain how you are using the graph.

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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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

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.

Question

12. You are considering a going on a vacation, and you find two different deals on a travel website. Sun Fun Travel is offering $250
round trip airfare from San Francisco to Honolulu, plus$140 per night for the hotel. Holiday Excursions is offering $425 round trip
airfare from San Francisco to Honolulu, plus $100 per might for the hotel.
a. How much would you pay for each trip if you stayed in the hotel for 2 nights?
write a system of equations to model the two travel options. Define the variables you are using in the equations.
c. Solve the system of equations using the equal values method. What is the solution and what does it tell you about when each
option is best?
d. Graph the system on your calculator and use the graph to check your solution in c. Explain how you are using the graph.

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